7, 11, 15, 19, …, what is the 100th term of this arithmetic sequence?

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  • Опубликовано: 14 янв 2025

Комментарии • 21

  • @dono42
    @dono42 Год назад +4

    I do not know that formula, so I did the following. 1) realize that the formula must have a constant slope, 2) calculate slope as (y2 - y1) / (x2 - x1) --> (11 - 7) / (2 - 1) --> 4, 3) integrate the slope to obtain the formula --> f(x) = 4x + C, 4) plug in any (x,y) and solve for C --> f(x) = 4x + 3. For 3) you can also just use "y = mx + b" instead of integration; it's all the same in the end.

  • @Proud_Muslimah6244
    @Proud_Muslimah6244 4 месяца назад

    Thank you! Very well explained!❤

  • @83emthomas
    @83emthomas Год назад

    Thank you thank you thank you. Back in school after a long break

  • @danieldennis9831
    @danieldennis9831 Год назад

    It's 403. The sequence is the base + multiples of 4. Base+differnce(sequence number-1). It would be harder with a geometric progression to come up with an equation. Took 20 seconds with this one.

  • @tomtke7351
    @tomtke7351 2 года назад +3

    It would seem numbers advance, one to the next by 4.
    start is 7
    2nd number is
    7 + 4 = 11
    3rd number is
    7 + 4 + 4 = 15
    4th number is
    7 + 4 + 4 + 4 = 19
    nth number =
    7 + (4 × (n - 1))
    100th =>
    7 + (4 × (100 - 1))
    = 7 + (4 × 99)
    = 7 + 396
    = 403
    Rethink =>
    the number of steps BETWEEN 100 numbers is 99
    Each step is 4
    99 × 4 = 396 weighted steps between 7 and the 100th number.
    start is 7 so finish is
    7 + 396 = 403✔️
    After watching video I see a different formula:
    mine is
    7 + ( (n - 1) × 4)
    which is also
    3 + 4 + ((n -1)×4)
    = 3 + 4n ✔️

    • @GoBlesstheSky
      @GoBlesstheSky 2 года назад

      Oh yeah, I went with, 4th number of 100 is 19 so.. 19+(4X96)=403

  • @argonwheatbelly637
    @argonwheatbelly637 2 года назад +1

    403 in about eight seconds in my head, but I like the approach in the video.

  • @monzinox7384
    @monzinox7384 11 месяцев назад +3

    you talk to much mate just get to the point

  • @lisanelson3260
    @lisanelson3260 8 месяцев назад

    What is the 100th 1, 4, 7, 10

  • @helpme-zk7ul
    @helpme-zk7ul Год назад +3

    less talking more working.
    I litteraly wasted 8 mins hearing ur introduction

  • @nicoladwyer9541
    @nicoladwyer9541 10 месяцев назад

    403 because rule 4n+3

  • @kk6aw
    @kk6aw Год назад

    399 starting at zero

  • @donmoroz5502
    @donmoroz5502 2 года назад

    403

  • @pradipeditor
    @pradipeditor Год назад

    Hi

  • @16lrrr54
    @16lrrr54 11 месяцев назад

    lil yapper ay

  • @dwaipayandattaroy9801
    @dwaipayandattaroy9801 2 года назад

    123

  • @richardodell
    @richardodell 2 года назад

    403

    • @colintwigger529
      @colintwigger529 2 года назад

      No wonder some students can’t understand maths . I explained this and other more complicated number series to my students and the all understood in a few minutes.

  • @michaelempeigne3519
    @michaelempeigne3519 2 года назад +2

    403

  • @mawavoy
    @mawavoy Год назад

    407