Question

Which of the numbers below could be terms in the sequence an = 7n + 4?

a. 24

b. 32

c. 36

d. 46
**Check all that apply!!

And please explain!! :) Thanks!

Answer 1

Hey! Thanks for coming! ;)

Answer 2

try to substitute the options

Answer 3

substitute them into n?

Answer 4

on \[a _{n}=7n+4\]
if you get a negetive answer or a fraction then its not in the sequence

Answer 5

eg
24=7n+4

Answer 6

a24=172
a32=228
a36=256
a46=326

Answer 7

ohhh nvm haha i did it wrong....

Answer 8

hold on lemme fix it

Answer 9

a24=20/7 -------> NOT in sequence
a32=4 -------> IN the sequence
a36=32/7 -------> NOT in the sequence
a46=6 --------> IN the sequence

Answer 10

is that right @Jonask ??

Answer 11

Oh hi there @jim_thompson5910 !!! :)

Answer 12

does this look right to you? :)

Answer 13

SO would my answers be B. 32 AND D. 46 ???

Answer 14

@Jonask and @jim_thompson5910 what do y'all thinK? :)

Answer 15

yes they fit perfectly is this multiple choice

Answer 16

yes this one is check all that apply haha so B and D are the final answers then?

Answer 17

You can optionally generate enough terms so that you can see which terms are in the sequence or not

First 10 terms:

a1 = 7(1) + 4 = 11 ---> a1 = 11
a2 = 7(2) + 4 = 18 ---> a2 = 18
a3 = 7(3) + 4 = 25 ---> a3 = 25
a4 = 7(4) + 4 = 32 ---> a4 = 32
a5 = 7(5) + 4 = 39 ---> a5 = 39
a6 = 7(6) + 4 = 46 ---> a6 = 46
a7 = 7(7) + 4 = 53 ---> a7 = 53
a8 = 7(8) + 4 = 60 ---> a8 = 60
a9 = 7(9) + 4 = 67 ---> a9 = 67
a10 = 7(10) + 4 = 74 ---> a10 = 74


So the first 10 terms are

11, 18, 25, 32, 39, 46, 53, 60, 67, 74

and we can see only 32 and 46 are part of the sequence

Answer 18

oh cool! thanks you guys!!! ur both super awesometastic!! :)

Answer 19

hey @Jonask could u pls also give @jim_thompson5910 a medal for me ?? cuz again i can only give one :( bummer

Answer 20

next time you should not write
a24
a32
a36

Answer 21

oh okay, thanks for the heads up! :)