You are not Idiot lmao You may have not learnt it at school It's just an easy question of AP Use formula : a+(n-1)d a=first term of series (here 5) d=difference between every term (here - +4) n=the term you want to find (here nth term) Putting values 5+(n-1)4 = 5+4n-4 = *4n+1*
Bro it's just an easy question of AP Use formula : a+(n-1)d a=first term of series (here 5) d=difference between every term (here - +4) n=the term you want to find (here nth term) Putting values 5+(n-1)4 = 5+4n-4 = *4n+1*
Honestly you can just plug in the stuff you found out there into the equation : a + (n - 1)d , Where a is the first term of the sequence, and d is the difference between each term. In this case, a = 5, d = 4. So, plug in: 5 + (n - 1)4 = 5 + 4n -4 = 4n + 1 As simple as that. Just be careful because this expression only works for Arithmetic Sequences (where all the differences are the same throughout).
@@johnspence8141 No, in the previous commenters example N goes 0,1,2 not 1,2,3. So 4x2+5=13 is the 3rd term. It’s often customary in mathematics and programming to index starting at 0 instead of 1.
Or you use the arithmetic sequence general formula a + (n-1)d. Where a is the first term. N is any term you’re looking for (or nth term) and d is the difference. 5 + (n-1)4 = 5 + 4n -4 = 1 + 4n = 4n +1
Bro it's just an easy question of AP Use formula : a+(n-1)d a=first term of series (here 5) d=difference between every term (here - +4) n=the term you want to find (here nth term) Putting values 5+(n-1)4 = 5+4n-4 = *4n+1*
Holy overthinking comments. Grade 11 math : any sequence with a consistent difference (in this case 4) is an arithmetic sequence. Go use the formulas from there
Yes, it's just an easy question of AP Use formula : a+(n-1)d a=first term of series (here 5) d=difference between every term (here - +4) n=the term we want to find (here nth term) Putting values 5+(n-1)4 = 5+4n-4 = *4n+1*
You could also have written the multiples of 4 above each integer and see the difference between them… giving you the +/- function of the whole “nth term”
Bro it's just an easy question of AP Use formula : a+(n-1)d a=first term of series (here 5) d=difference between every term (here - +4) n=the term you want to find (here nth term) Putting values 5+(n-1)4 = 5+4n-4 = *4n+1*
@@cam_the_speedrunner6500 In India, we don't have different divisions of things in maths We have different chapters And till class 12, we study everything in Maths (obviously basics of many things cuz what they will teach in College then 😂)
There is only one correct answer,which is 5+4n. The list starts with 5 which is completely different from starting from 1. If we want to create a magic music box that plays music respectively after 5 hour then after 9 hour … once it is powered up we will end by using the nth term 4n + 5 with n is a 0,1 … infinity(N)
Bro it's just an easy question of AP Use formula : a+(n-1)d a=first term of series (here 5) d=difference between every term (here - +4) n=the term you want to find (here nth term) Putting values 5+(n-1)4 = 5+4n-4 = *4n+1*
Bro it's just an easy question of AP Use formula : a+(n-1)d a=first term of series (here 5) d=difference between every term (here - +4) n=the term you want to find (here nth term) Putting values 5+(n-1)4 = 5+4n-4 = *4n+1*
That's only if the sequence starts with n=1. If instead you start with n=0 then it would be 4n+5 as 4(0)+5=5 and the same pattern emerges with 4(1)+5=9, 4(2)+5=13, 4(3)+5=17 etc. Without clearer instructions, this question has two acceptable answers.
The "nth term" is a term for finding the form "an+b" to show a number sequence. It isn't for multiplying them, in this case. Although, why there is a mathematical representation of something that is directly contradictory to the REST of ALL mathematical notation is beyond me. I'm sure there's a good reason somewhere, but like I said it's beyond me.
Also, 'n' is consistent with the rest of mathematics. It is the notation for a natural number, a positive integer. This sets boundaries on what the number could be as n cannot be fractional. For example, it can't be say 1/2, 0.75 or 16.467, but it can be 1, 2, 3, 17, 997 etc. n is regularly used in sequences like this to denote the position of a value in that sequence.
@@alexrenton67 but the second doesn't, nor the rest of the series. The slippery slope fallacy is what you just did. I figured that might happen, most do that with number sequences.
Anyone here in college but has no idea how to solve this?
Or am I the only idiot..🤣
You are not Idiot lmao
You may have not learnt it at school
It's just an easy question of AP
Use formula : a+(n-1)d
a=first term of series (here 5)
d=difference between every term (here - +4)
n=the term you want to find (here nth term)
Putting values
5+(n-1)4 = 5+4n-4 = *4n+1*
@@tbg-brawlstars great explanation man, super easy to understand
@@mothserp are you being sarcastic lol ?
@@tbg-brawlstars no haha I’m serious
@@mothserp thanks
the question is weirdly written! shouldn't it say.."write a function of n that represents the nth term of the series"
Arithmetic sequences
its not a series. its a sequence, an arithmetic sequence.
Nah
This is correct too
Lot of people going to fail math
Bro it's just an easy question of AP
Use formula : a+(n-1)d
a=first term of series (here 5)
d=difference between every term (here - +4)
n=the term you want to find (here nth term)
Putting values
5+(n-1)4 = 5+4n-4 = *4n+1*
Honestly you can just plug in the stuff you found out there into the equation :
a + (n - 1)d ,
Where a is the first term of the sequence, and d is the difference between each term.
In this case, a = 5, d = 4.
So, plug in:
5 + (n - 1)4
= 5 + 4n -4
= 4n + 1
As simple as that.
Just be careful because this expression only works for Arithmetic Sequences (where all the differences are the same throughout).
I know even I used the same formula for solving the sums but for MCQs his method is great as it saves a lot of time
B) is also correct, it starts with n=0
n=0 -> 5
n=1 -> 9 and so on
Both are correct
No 5 is the 1st one, not the 0th one
@@reflected4796 no, only B is correct. Indexing starts at 0 and anyone that says otherwise is a silly poopoo head.
As a programmer I was annoyed that they included 4n + 5 in the answers making it a guess as to whether indexing starts at 0 or 1.
Nope. If you want to prove it use an example. 3rd term according to you would be 4(3)+ 5 = 17. The third term in this sequence is not 17
@@johnspence8141 No, in the previous commenters example N goes 0,1,2 not 1,2,3. So 4x2+5=13 is the 3rd term. It’s often customary in mathematics and programming to index starting at 0 instead of 1.
a +(n-1)d = an
If d = 4 , a = 5 then 4n +1 ans
Very helpful
Or you use the arithmetic sequence general formula a + (n-1)d. Where a is the first term. N is any term you’re looking for (or nth term) and d is the difference. 5 + (n-1)4 = 5 + 4n -4 = 1 + 4n = 4n +1
Thanks so much
Thanks for making it simple.
Bro it's just an easy question of AP
Use formula : a+(n-1)d
a=first term of series (here 5)
d=difference between every term (here - +4)
n=the term you want to find (here nth term)
Putting values
5+(n-1)4 = 5+4n-4 = *4n+1*
Since we don't know a1 (because 5 could as well be a1) this question has no answer. Also the nth term would be 4(n-1)+ a1
Would teach this strategy to my students...
The formula for finding the nth term in an arithmetic sequence is:
nth term=1st term + d(n-1)
Where:
d-common difference
n-number of terms
Better yet:
"a(n) = a(x) + (n-x)d"
That way you can get the term from any other term x in the sequence
Finally I found someone knowing AP in comment
It is a question of arithmetic progressions(AP)
Holy overthinking comments. Grade 11 math : any sequence with a consistent difference (in this case 4) is an arithmetic sequence. Go use the formulas from there
Yes, it's just an easy question of AP
Use formula : a+(n-1)d
a=first term of series (here 5)
d=difference between every term (here - +4)
n=the term we want to find (here nth term)
Putting values
5+(n-1)4 = 5+4n-4 = *4n+1*
You could also have written the multiples of 4 above each integer and see the difference between them… giving you the +/- function of the whole “nth term”
Me in 7th grade doing this on my own
Bro it's just an easy question of AP
Use formula : a+(n-1)d
a=first term of series (here 5)
d=difference between every term (here - +4)
n=the term you want to find (here nth term)
Putting values
5+(n-1)4 = 5+4n-4 = *4n+1*
AP? I'm doing this in Algebra 1
@@cam_the_speedrunner6500 In India, we don't have different divisions of things in maths
We have different chapters
And till class 12, we study everything in Maths (obviously basics of many things cuz what they will teach in College then 😂)
There is only one correct answer,which is 5+4n.
The list starts with 5 which is completely different from starting from 1.
If we want to create a magic music box that plays music respectively after 5 hour then after 9 hour … once it is powered up we will end by using the nth term 4n + 5 with n is a 0,1 … infinity(N)
Nope. Try it with any number in the sequence. Try the 3rd. 5(3) + 4 = 19 but the third number is not 19. This is straight from arithmetic sequences
put N = 1 and find out. D
This is 7th grade right?
Yep
Yess
Without the n part, first graders can recognize the series rule
It’s summer shut up im on my break
Weird question, in every case this question seems to be vice versa but here?? 🤨🤔
What are these questions from?
Bro it's just an easy question of AP
Use formula : a+(n-1)d
a=first term of series (here 5)
d=difference between every term (here - +4)
n=the term you want to find (here nth term)
Putting values
5+(n-1)4 = 5+4n-4 = *4n+1*
If you’d could stop drawing 4 like that it would be great. Thanks
What if it started at 9. Wouldn’t that change some things
If it started at 9 then the 0th term would be 5
4n+5
Bro it's just an easy question of AP
Use formula : a+(n-1)d
a=first term of series (here 5)
d=difference between every term (here - +4)
n=the term you want to find (here nth term)
Putting values
5+(n-1)4 = 5+4n-4 = *4n+1*
1st, at most 2nd graders can do this.
A+(n-1)d left the chat
It's AP bro
Just put n=1 if u get 5 thats the answer 😏
D
4n+1
BRUH JUST USE AP FORMULA -__-
THIS DOESN'T EVEN MAKE SENSE
Ddd
Ha ha. Got it in 2 seconds
Just plug 1 into n, the one that equals 5 is the answer is this case
That's only if the sequence starts with n=1. If instead you start with n=0 then it would be 4n+5 as 4(0)+5=5 and the same pattern emerges with 4(1)+5=9, 4(2)+5=13, 4(3)+5=17 etc. Without clearer instructions, this question has two acceptable answers.
Why do we learn this. This has no application in 99.9 percent of the real world
4n is multiply n by 4, not add 4 to n.
The "nth term" is a term for finding the form "an+b" to show a number sequence. It isn't for multiplying them, in this case.
Although, why there is a mathematical representation of something that is directly contradictory to the REST of ALL mathematical notation is beyond me. I'm sure there's a good reason somewhere, but like I said it's beyond me.
@@StevenPitts no I understand, if you plug his answer in it doesn't work
It does work.
Don't forget that the first term in the series is 5, not 1, so (4×1)+1=5.
1 is the 0th term, so (4×0)+1=1
Also, 'n' is consistent with the rest of mathematics. It is the notation for a natural number, a positive integer. This sets boundaries on what the number could be as n cannot be fractional. For example, it can't be say 1/2, 0.75 or 16.467, but it can be 1, 2, 3, 17, 997 etc.
n is regularly used in sequences like this to denote the position of a value in that sequence.
@@alexrenton67 but the second doesn't, nor the rest of the series. The slippery slope fallacy is what you just did. I figured that might happen, most do that with number sequences.
4n+1