PLEASE HELP!!!

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

a) -89
b) -86
c) -83
d) -80

Question

PLEASE HELP!!!

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

a) -89
b) -86
c) -83
d) -80

anonymous · Answer

$$a_{n} = a_1 + (n - 1) d$$Here n is the term number, so for a17; n = 17
Plug the given values of a17 and a1 in the formula $$a_1 = 13$$$$a_{17} =-35$$$$n =17$$$$-35 =13 + (17-1)d$$Solve for d (common difference).
Use the same formula to find the 35 term, n = 35 and a1 remains the same.

anonymous · Answer

idk if im right.. but i got c) -83

anonymous · Answer

what value did you get for d ?

anonymous · Answer

$$-35 -13 = 16 d$$$$-48/16 = d$$$$d= -3$$Thus$$a_{35} = 13 + (35-1)\times(-3) = 13 + 34 \times(-3) = 13 - 102 = - 89$$

anonymous · Answer

ohh i get it my bad! so the answer was a) -89