Question

The first term of an arithmetic sequence is six. The fifth term of the sequence is -14. th Write a rule that can be used to find the nth term.​

Answer 1

`a_(n) = 11 - 5n`

Explanation:

use the formula

`a_(n) = a_(1) + (n - 1)d`

-14 = 6 + (5 - 1)d

-14 = 6 + 4d

-20 = 4d

d = -5

`a_(n) = 6 + (n - 1)(-5) = 6 - 5n + 5 = 11 - 5n`