Question

What is the 35th term of the arithmetic sequence where a1 = 13 and a17 = -83?

Answer 1

use 35th term = 13 + 34d

d is found by (a17 - a1) / 16 = (-83 - 13) / 16

Answer 2

the terms of an AS are a, a+d, a + 2d, a+ 3d ......

Answer 3

theres no way its -6 but thats what i got when i did (-83-13)/16

Answer 4

d = -6
plug this into formula in my first post

Answer 5

= 13 + 34(-6)

Answer 6

oh d = -6 .. okay. so then, 13 + 34(-6) ?

Answer 7

yes

Answer 8

okay hold on. i dont have a calculator :/

Answer 9

-191 ?

Answer 10

13 - 204
= 191 is right

Answer 11

sweet. thanks!

Answer 12

-191 i mean

Answer 13

yw