Sequence & Series 04 | A.G.P. & H.P. | CLASS 11 | JEE | PACE SERIES

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  • Опубликовано: 3 фев 2025

Комментарии • 1,7 тыс.

  • @tanishq2957
    @tanishq2957 4 года назад +115

    1:38 - Start of A.G.P.
    28:47 - Start of H.P.

  • @neelanshupanigrahi2553
    @neelanshupanigrahi2553 4 года назад +501

    yes we want a session on The Golden Ratio

    • @yashsahu3187
      @yashsahu3187 4 года назад +4

      Yes sir we want a video on golden ratio

    • @metawhirl4609
      @metawhirl4609 3 года назад +8

      Fibonacci sequence you want huh

    • @solenoid6545
      @solenoid6545 3 года назад +2

      @@metawhirl4609 computer m bhi aata h isliye. Hm sb ne optional m CSc liya h

    • @kgamer4800
      @kgamer4800 3 года назад +2

      The golden ratio is 1.618

    • @tirthmodi9294
      @tirthmodi9294 2 года назад +1

      @@solenoid6545 root 5-1/2

  • @neutron417
    @neutron417 4 года назад +302

    We want golden ratio lecture... that is much needed

    • @harishk3355
      @harishk3355 3 года назад

      Great working

    • @hellcrieswhy5115
      @hellcrieswhy5115 2 года назад +2

      bruh boi just saying , on a paper try finding it using sum of n terms in ap using a is 1/a i got it

    • @helloeveryone6614
      @helloeveryone6614 2 года назад +2

      Golden lecture ratio 😂

    • @powerenergy3480
      @powerenergy3480 Год назад +1

      Did you in , IITM ?

  • @himstitute9030
    @himstitute9030 4 года назад +147

    areey now I got remember where I listened the word "GOLDEN RATIO" last time..In the movie "Super 30" "tmhare chehare pe par feee nhi hai 😂😂" Sir now I definitely want a lecture on it

    • @its_yash9360
      @its_yash9360 4 года назад +1

      Yess you are right.

    • @IshaansGoodLife
      @IshaansGoodLife 4 года назад +1

      ruclips.net/video/xm40afLBNXw/видео.html ye dekho bhai🤣

    • @neelanshupanigrahi2553
      @neelanshupanigrahi2553 4 года назад +1

      @@IshaansGoodLife sahi hai bhai
      par babita is missing

    • @Jasbirkaurgill22
      @Jasbirkaurgill22 3 года назад

      Sir to kho gye 😭😭😭

    • @HARSHG1243
      @HARSHG1243 3 года назад

      @@Jasbirkaurgill22 new channel hai unka BHANAT MATHS

  • @arnawbaitha8748
    @arnawbaitha8748 4 года назад +102

    Sir, We need a video on Golden Ratio

  • @ashusaklani
    @ashusaklani 4 года назад +60

    Ye sir we want lecture on Golden ratio😍
    Thank you for each and every thing you are doing for us🙏🏻

  • @AdityaKumar-rt2qf
    @AdityaKumar-rt2qf 4 года назад +207

    Yes we want a lecture on golden ratio

  • @pawanbishnoi4886
    @pawanbishnoi4886 3 года назад +30

    Answer of hw qtn - 4 sq. units.
    [It was an decreasing infinite GP (2, 1, 0.5,..) whose sum is 4]

    • @Durgaprasad_Nayak
      @Durgaprasad_Nayak 2 года назад +4

      Sathik 😀😀

    • @arachnix9335
      @arachnix9335 Год назад +3

      Thank you stranger, I was solving it and ended up finding the sum of the sides only, your comment made me recheck my solution and fix it accordingly. Thank you. So glad that this community is so helpful.

  • @nikitathakur7647
    @nikitathakur7647 4 года назад +66

    41:39 Sure Sir 😄
    Pls syllabus completion k baad *Golden Ratio* par lecture...
    Ab toh curiosity bani rahegi lecture k liye 😁😅😅

  • @tosifsayyad75
    @tosifsayyad75 4 года назад +59

    Yes sir we want a lecture on Golden ratio.

  • @cube7353
    @cube7353 2 года назад +32

    Hey friends,
    We can use the formula
    (a / 1-r ) + dr/(1-r)² for infinite agp also. Hope it helps!

    • @avinash703
      @avinash703 2 года назад +1

      Thanks

    • @cube7353
      @cube7353 2 года назад +2

      @@avinash703 :D

    • @abdulkhadarainur4348
      @abdulkhadarainur4348 Год назад +2

      That doesn't work quite right when first term is a multiple of r. And even after taking r common, it fails in a few situations.

  • @vijaypalgangwar6155
    @vijaypalgangwar6155 5 месяцев назад +2

    00:00: Introduction to sequences and series, focusing on Arithmetic (A.P.), Geometric (G.P.), and Harmonic Progressions (H.P.).
    04:30: Explanation of Geometric Progression (G.P.) and how to identify its terms through examples.
    11:15: Discussing the concept of Arithmetic-Geometric Progression (A.G.P.) and its formation by combining A.P. and G.P.
    20:45: Detailed breakdown of how to derive the sum of terms in A.G.P. using formulas.
    30:10: Introduction to Harmonic Progression (H.P.) and its relationship with A.P. through reciprocal terms.
    38:20: Insight into deriving the sum of terms in H.P. and the significance of finding reciprocals.
    44:00: Summary of the session emphasizing the importance of understanding various progressions for JEE preparation.

  • @kjsdhaliwal4347
    @kjsdhaliwal4347 4 года назад +140

    Yes sir hame golden ratio ka lecture chahiye

  • @doyamvashishtha9642
    @doyamvashishtha9642 2 года назад +25

    Yes we want to understand everything about golden ratio😊

  • @lifefact2182
    @lifefact2182 4 года назад +3

    45:00 ans of hw --> 4unit square

  • @SahilZen42
    @SahilZen42 Год назад +3

    We can easily calculate the area of first sqaure which is 2 unit square.
    Imagine all the squares are shrinking down to its half value infinitum...
    2 + 1 + 1/2 + 1/4 + 1/8 + ••• + 1/∞
    =2 + 1 + 1= 4 Ans.
    Think this problem geometrically👍

  • @ankitadangi1655
    @ankitadangi1655 4 года назад +1

    Sir samj m a rha hai achhe se.....ek dam bhannnnnnaaatt pdayi chl rhi h.

  • @mohd_faizan
    @mohd_faizan 4 года назад +14

    Ans of last ques
    Sum of all the areas of all the squares = 4 unit ²

    • @aishanshuike882
      @aishanshuike882 4 года назад +1

      Bro can u tell how u find it

    • @tanishrashm3645
      @tanishrashm3645 3 года назад +3

      @@aishanshuike882 Diagonal of square is equal to Diameter of circle , if square is inscribed in circle ...equate them , u will get A1 = 2
      A2 = 1
      A3 = 1/2
      A4 = 1/4 and so on ....
      These terms are in Infinite GP

    • @aishanshuike882
      @aishanshuike882 3 года назад +1

      I got that bro before itself , then too thanks for reply

  • @DK34777
    @DK34777 4 года назад +4

    अलख sir हमेशा बच्चों का भला सोचते हैंइसलिए ज्यादा से ज्यादा फिजिक्स वाला ऐप को सपोर्ट कीजिए🙏🙏🙏

  • @nehaprajapati8119
    @nehaprajapati8119 4 года назад +4

    SIR , FROM 00:00 TO 46:52 AGP &HP KI KATRE KATRE SAMAJ AGYI EK DAM BHANNNAT TRIKE SE❤️

    • @vinayakpawar505
      @vinayakpawar505 4 года назад +1

      Katre katre😂😂

    • @adii18s
      @adii18s 4 года назад

      Your how much syllabus completed of class 11 for jee??

    • @nehaprajapati8119
      @nehaprajapati8119 4 года назад

      @Aditian only sequences nd series kiya hai abhi baad me soche ge 12th ka calculus pura nhi hua h abhi to basics ata h bs

    • @adii18s
      @adii18s 4 года назад

      @@nehaprajapati8119 jee 2022 aspirant??

  • @thegauravschannel7397
    @thegauravschannel7397 4 года назад +10

    Good Morning/Afternoon/Evening whenever you are watching this....
    Sir please provide us the lectures on left portions of Trigonometry.....🤗🤗
    Also please tell us about the sum of HP, supposition of terms in HP, relationship between AM/GM/HM.... 🤗🤗🤗And how to find AM/GM/HM of more than two terms...🤗🤗🤗🤗
    Also a special lecture on logarithms.... ✍🏻✍🏻✍🏻✍🏻✍🏻
    Cordially Thanks for your precious teaching 🔥

  • @sajalshrivastava6227
    @sajalshrivastava6227 4 года назад +33

    Sir please launch JEE 2022 batch after March so that we can start our prepration early.
    Edit :- Sir maths ke liye Aman Sir is the bestest.
    2nd Edit :- I don't think that it is possible to get Aman Sir as our Maths teacher in JEE 2022 batch but I think something big is gonna to be happens.

  • @ShantanuHippargekar
    @ShantanuHippargekar 3 года назад +6

    Really we all miss you on this PW Platform

  • @Rimmee15
    @Rimmee15 4 года назад +8

    When you finally get something good, enjoy it. Don't always go looking for something better...❤️👍🌺🌱

    • @Lucifer-pj8vc
      @Lucifer-pj8vc 4 года назад +1

      Aapke itne saare subscribers hai😯😯

    • @darakhshayasmeen
      @darakhshayasmeen 4 года назад +4

      @@Lucifer-pj8vc ha yrr 😜😜😜😜
      Nice observation!!
      Dp ki vajah se syd 🤣🤣🤣

    • @flipperxprem998
      @flipperxprem998 4 года назад +1

      TQ very much ❤️

    • @Lucifer-pj8vc
      @Lucifer-pj8vc 4 года назад +1

      @@darakhshayasmeen Nhi mai to waise hi 😅 information ke liye 😁

  • @UROOZFATIMA190
    @UROOZFATIMA190 Год назад +2

    Sir your teaching is just amazing

  • @yesh_grg
    @yesh_grg 4 года назад +23

    The man who is recording lecture on his leave
    Thanku sir❤
    Thoda rasayan leela wale sir ko bhi boldo woh bbi extra class lele

    • @pranjaltiwari1788
      @pranjaltiwari1788 4 года назад +1

      Bro wo bhi daily aate hai

    • @yesh_grg
      @yesh_grg 4 года назад

      @@pranjaltiwari1788 kaash

    • @pranjaltiwari1788
      @pranjaltiwari1788 4 года назад

      @@yesh_grg wo srf kal nhi aayr the otherwise roz aate hain

    • @adii18s
      @adii18s 4 года назад

      @@pranjaltiwari1788 Your how much syllabus completed of class 11 for jee??

    • @adii18s
      @adii18s 4 года назад

      @@yesh_grg Your how much syllabus completed of class 11 for jee??

  • @maulikjain2259
    @maulikjain2259 4 года назад +4

    Ans of H.W. is :-
    The required series is 2, 1, ½_ _ _ _ _.
    Sum of areas of infinite squares = 4 sq. units

  • @horridakhil123
    @horridakhil123 4 года назад +28

    ""Aaloo Sade Sade , tamatar gale gale ,sir aapne hame titar bana diya , rajai me pade pade ""❣️❣️ And plz tell us more about golden ratio ((blessing from Dehradun))

    • @ashanihalani9079
      @ashanihalani9079 3 года назад

      Sir pls teach us about the golden ratio

    • @cameraman810
      @cameraman810 4 месяца назад

      Reply me kya kar rha hai bhai comment karna

  • @harishhimanshu8732
    @harishhimanshu8732 Год назад +2

    Golden Ratio 😍😍
    those who know why I am happy about golden ration they knows

  • @shivamarora2969
    @shivamarora2969 4 года назад +22

    41:30
    Yes sir, please make a video on golden ratio whenever your schedule allows.

    • @adii18s
      @adii18s 4 года назад +1

      Your how much syllabus completed of class 11 for jee??

    • @shivamarora2969
      @shivamarora2969 4 года назад +1

      @@adii18s very less 30-40%

  • @Danishjaindeckofficer
    @Danishjaindeckofficer Месяц назад

    Sir aap jhkash pdhate hai mai abhi tak kisi bhi teacher ka tarif nhi kiya tha lekin pahlibar aapka video dekhkr...... Aap bhut achhe pdhate ho sir❤

  • @anjaleegusain8136
    @anjaleegusain8136 4 года назад +3

    According to me the answer of homewo question is 4
    As the areas of square are in G.P with common ratio 1/2

  • @souvikghosh8632
    @souvikghosh8632 2 года назад +4

    Very Helpful Sir...I have understood all concepts 🤗

  • @Piankamoniga
    @Piankamoniga 4 года назад +33

    0:25 "kaise hai aap log" in carryminati style 😂😂

  • @ooprigyan
    @ooprigyan 2 года назад +2

    Yes sir golden ratio par video banaiye

  • @authoryajat
    @authoryajat 4 года назад +7

    41:30 yes sir please do that golden ratio lecture seems quite interesting

    • @darakhshayasmeen
      @darakhshayasmeen 4 года назад +3

      Kaise itne aage pahunch gye🤔🤔🤔🤔

    • @bhannaataspirant2403
      @bhannaataspirant2403 4 года назад +2

      @@darakhshayasmeen direct last 10 min se dekhke🤣🤣🤣

    • @iit1949
      @iit1949 4 года назад

      are bhai 🙄kitne speed pe dekh rahe the 😂

    • @bhannaataspirant2403
      @bhannaataspirant2403 4 года назад +1

      @@iit1949 time travel kiya he saayad🤣🤣

    • @iit1949
      @iit1949 4 года назад

      @@bhannaataspirant2403 😂😂oo bhai 😂

  • @taranghotra8
    @taranghotra8 3 года назад +1

    Sir padhate aise hae jaise hamme kuch bhi ni ata par question aese puchte hae Jaese hame sab ata hae

  • @interestingphysics3562
    @interestingphysics3562 4 года назад +10

    Thanks sir for providing a great lecture 👌 👍

    • @IshaansGoodLife
      @IshaansGoodLife 4 года назад

      ruclips.net/video/GvMtPtnQGdA/видео.html Alakh Sir on Hud Hud Dabangg 😂😂😂😂

    • @akshay_anand360
      @akshay_anand360 4 года назад +3

      ❤❤

  • @hitanshramtani9076
    @hitanshramtani9076 3 года назад

    sir sum of infinity in agp ======>> a/1-r + (rd)/(1-r)^2 timming 23:00

  • @A4vinish
    @A4vinish 4 года назад +24

    S sr we want golden ratio
    Silver, platinum , daimond bhi hoga is math ki maya m janaa h hmko apke sath 🤤👍

    • @adii18s
      @adii18s 4 года назад +1

      Your how much syllabus completed of class 11 for jee??

    • @anonymous_magnus
      @anonymous_magnus 4 года назад +1

      @@adii18s create a group for discussion 😄

  • @umangmathur9301
    @umangmathur9301 4 года назад

    46:20 -- SIR HW. QUESTION ANSWER IS---: 4
    Bcz, the resulting sequence will be:-- 2 + 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 +...................+Infinity
    hence, 2+[ 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 +...................+Infinity]
    The Sequence in the Brackets is the Sum of Infinity G.P. With Common Ratio = 1/2
    hence
    as |r| < 1,
    We can use S= a / 1-r
    --- S = 2+[1 / 1-(1/2)]
    ----S = 2+2
    ----S = 4 Answer

  • @anjaleegusain8136
    @anjaleegusain8136 4 года назад +8

    Jai hind sir
    Sir we want lecture on Golden ratio after our syllabus is completed
    as it's name has golden.. 😍

  • @princechaudhary5253
    @princechaudhary5253 2 года назад +1

    Yes sir golden ratio and more videos on series chapter for competition

  • @aadarshani493
    @aadarshani493 2 года назад +2

    U r best teacher of math sir 😍❤

  • @knd7196
    @knd7196 4 года назад +2

    13:53 Ha Sir samajh mein aa gaya ekdum bhannatly🔥🔥

  • @IntenseBattler
    @IntenseBattler Год назад +3

    42:25 sir aapne at a time kaise multiply and divide kiya ? Konsa rule hame ye batata hai?

  • @Aslian_Harsh_ASHA2026
    @Aslian_Harsh_ASHA2026 4 месяца назад +1

    Yes we ought to a session on the Golden Ratio

  • @darakhshayasmeen
    @darakhshayasmeen 4 года назад +21

    33:49
    Ap bole to arithmetic progression
    Alakh Pandey mt samajhna
    🤣🤣🤣🤣🤣🤣😜😜😜😜😜

  • @vanshshah2149
    @vanshshah2149 3 года назад +1

    Yes sir please make a video on 'Golden Ratio'

  • @sonupaswan9099
    @sonupaswan9099 3 года назад +4

    Golden Ratio is 1:1.26...🙏🙏🙏

  • @bhawarlalbhawarlal8958
    @bhawarlalbhawarlal8958 3 года назад +2

    answer of home work question is 2unitsquare

  • @shilpachoudhary6037
    @shilpachoudhary6037 4 года назад +4

    Yes sir please make video on GOLDEN RATIO 🔥

  • @Devotion-q4n
    @Devotion-q4n Год назад +1

    Sir you are amazing 😍 your style of teaching is attracting me towards you😊 i love you sir ❤

  • @sumit2162
    @sumit2162 4 года назад +20

    30:57 smjh rhe ho 😂😂

  • @pintusha518
    @pintusha518 Год назад +1

    46:19
    Ans -4 unit square

  • @SangeetaYadav-cv9xb
    @SangeetaYadav-cv9xb 4 года назад +5

    Sir i need your help, my 11 th exams are on 6 th march maths paper how can i prepare for that, bt acquiring that i have not learn anything till now please help

    • @TechieOnTheTrack
      @TechieOnTheTrack 4 года назад +1

      Do nceret book of maths

    • @sunillodwal7658
      @sunillodwal7658 4 года назад +1

      Many of ncrts problem are actually good go on

    • @Praveen10gautam
      @Praveen10gautam 3 года назад

      Jitna ho gya h use NCERT se kr le bhai bas ab toh yahi ho skta hai

  • @prathmeshsingh9699
    @prathmeshsingh9699 4 года назад +1

    Sab samajh me aa raha hai Sir 👍👍👍

  • @anuverma23498
    @anuverma23498 4 года назад +7

    Sir aapki entry ek dam BHANNAT hoti hai....Maza aa gaya....Video ki starting mein hi maza aa jata hai ki video ko band karne ka mann nahi karta...Thank you Alakh sir and team🙏🤗

  • @dideal2239
    @dideal2239 4 года назад +6

    Don ki Bhannat 🔥 entry..
    To kaise hai aaplog 😍

  • @shaikmuhammadtauseef955
    @shaikmuhammadtauseef955 3 года назад +1

    I am from Andhra Pradesh
    Full masti class❤️
    In telugu: sir mastuga cheppindu class🔥

  • @KrishnaGuptaTech
    @KrishnaGuptaTech 4 года назад +5

    Sir Ji Syllabus Ke baad Golden Ratio pr vdo bnaadena🔥 thank u sir ji❤️

  • @instrumentalrockers6864
    @instrumentalrockers6864 Год назад +1

    sir got it the question at 24:22 as 9/2 sir
    LOVELY SESSION SIR ❣

  • @sauryanshdubey1485
    @sauryanshdubey1485 4 года назад +22

    Yes sir golden ratio pr lecture chahiye hme 😍

  • @sanjithmuralidharan6425
    @sanjithmuralidharan6425 Год назад +1

    Hello, I just wanted to say that sir made a mistake at 34:32,
    HP = 1/[a+(n-1)d] and not 1/a + (n-1)d

  • @asheeshkumar791
    @asheeshkumar791 4 года назад +7

    13:54
    n-1 terms samajh me a gyi

  • @muneebmahmood3001
    @muneebmahmood3001 2 года назад +1

    Yes sir smjh agai you are good teacher

  • @sneharaniswain4034
    @sneharaniswain4034 4 года назад +5

    Sir we want a lecture on golden ratio...
    Please sir 🤗🤗🤗💫

  • @pushkarkulkarni9922
    @pushkarkulkarni9922 6 месяцев назад +1

    Mast sir thanks make one short concept and only question practice video

  • @Lucifer-pj8vc
    @Lucifer-pj8vc 4 года назад +4

    Sir ek request hai😥🙏🙏🙏🙏 aap pls apni tabiyat ka khayaal rakhiye sir
    Syllabus chahe thoda rah bhi jaaye to koi baat nhi🙂

  • @aarishansari454
    @aarishansari454 4 года назад

    11:30 abhi tak ka ek dum bhannat 🔥🔥🔥🔥🔥 smjh aa raha hai sir

  • @djgamer5067
    @djgamer5067 2 года назад +3

    😊😊ok😊😊

  • @imandeep_maheria
    @imandeep_maheria Год назад

    46:18 H.W. 2/1-√2
    Or. -2(1+2√2)

  • @msanendh4861
    @msanendh4861 2 года назад +3

    Sir we want a lecture on golden ratio

  • @riya2059
    @riya2059 Год назад +1

    Yes sir please make a video on golden ratio I am also curious about the sum of hp terms

  • @rashijain202
    @rashijain202 2 года назад +5

    YES SIR WE WANT A LECTURE ON GOLDEN RATIO !!!😃

  • @kushalshedha4891
    @kushalshedha4891 2 года назад +2

    46:13 Sir Answer to homework ques is 4

  • @ushabaghel684
    @ushabaghel684 4 года назад +3

    Yes sir we want lecture on golden ratio. Plz sir ❤️❤️.
    I didn't able to understand maths earlier because my teacher didn't explain me in this better way. Whenever i ask him about my dobuts. then he simply ignores me. And sometimes removes me from class, and used to say that u can't do it. You have taken wrong subject. He is too rude, I was really disappointed 😔😔.
    But you changed my perception towards mathematics. now i am understanding in best way. I can't thank you in these small words. You deserve a lot than these some lines. ❤️❤️.

    • @abhirupkundu2778
      @abhirupkundu2778 Год назад

      The way you speak english makes sense as to why he cast you out of his classes and ignored you

  • @gourav1325
    @gourav1325 Год назад +1

    Congratulations 🎉🎉🎉🎉 10 million subscribers

  • @hyperluzo
    @hyperluzo 4 года назад +15

    We want a special lecture of golden ratio

  • @mathematics369channel
    @mathematics369channel 3 года назад +1

    U r jhakash sir esi tarah smile karte rahiye aur padate rahiye

  • @darakhshayasmeen
    @darakhshayasmeen 4 года назад +4

    23:41 my ans is 9/2

  • @monuwarabegum6823
    @monuwarabegum6823 4 года назад +2

    Yes sir we are very interested to know about GOLDEN RATION.....🙏

  • @shilpachoudhary6037
    @shilpachoudhary6037 4 года назад +4

    Bhaannaat ❤️

  • @FFgaming-cw4ih
    @FFgaming-cw4ih Год назад +2

    Golden ratio lecture sir

  • @santoshrout9437
    @santoshrout9437 2 года назад +5

    Sir gold to cahiye

  • @kushalshedha4891
    @kushalshedha4891 2 года назад +2

    11:36 yes sir sab smaj aa rha h ab tak

  • @fmsflash9924
    @fmsflash9924 2 года назад +3

    Golden ratio

  • @parmesh6892
    @parmesh6892 2 года назад +1

    Ans of last que (HW) is 1

  • @bhukyapramod1923
    @bhukyapramod1923 4 года назад +3

    Superb lecture full clarity sir❤️❤️❤️

  • @aditiyakumar3292
    @aditiyakumar3292 4 года назад +1

    Hw question ans. 4unit^2 done by sum of infinite G.P.

  • @MaheshKumar-wv3oz
    @MaheshKumar-wv3oz 4 года назад +4

    Sir limits kab hoga

    • @IshaansGoodLife
      @IshaansGoodLife 4 года назад

      ruclips.net/video/GvMtPtnQGdA/видео.html Alakh Sir on Hud Hud Dabangg 😂😂😂😂

  • @pie_by_2h538
    @pie_by_2h538 4 года назад

    Sir Please check 15:02 sum of g.p of n-1 term would be dr(1- r^n )/1-r

  • @ram_krishna_atish
    @ram_krishna_atish 4 года назад +3

    Yes sir, we need a video on golden ratio 👍

  • @fahadshabbir4458
    @fahadshabbir4458 4 года назад +1

    Answer of last homework question
    A1 + A2 + A3+...... is ( 4 )

  • @bishalpatel1684
    @bishalpatel1684 4 года назад +4

    Yes sir we want a lecture on "Golden Ratio"

  • @dakshjain6673
    @dakshjain6673 4 года назад +1

    yes sir!
    make a video on golden ratio!!
    but syllabus khatam hone ke baad

  • @Surajit25
    @Surajit25 4 года назад +4

    13:54 (n-1) terms samaj me a gaya

  • @chaitanyamadame8418
    @chaitanyamadame8418 2 года назад +1

    Yes sir,we want video in golden ratio

  • @pritamrajsatsangi4884
    @pritamrajsatsangi4884 4 года назад +7

    Bhannatt shayari by aman sir
    To kaise hai aap log in style of carry

  • @aryankr8608
    @aryankr8608 4 года назад

    Sir answer of homework question is 4 unit sq. The series of decreasing area of square is 2,1,1/2,1/4,.........