Question

Find the 23rd term in the arithmetic sequence -1,-9,-17,-25,-33

Answer 1

`a_(23)` = - 177

Explanation:

The n th term formula for an arithmetic sequence is

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

where a is the first term and d the common difference

d = - 9 - (- 1) = - 9 + 1 = - 8 and a = - 1, hence

`a_(23)` = - 1 + (- 8 × 22) = - 1 - 176 = - 177

Answer 2

The answer is -177

-1-8-8-8-8-8-8-8-8-8-8-8-8-8-8-8-8-8-8-8-8-8-8