Question

Find the formula for the nth term of the sequence {–16, –19, –22, . . . }.

Answer 1

-3n - 13.

Explanation:

This is an arithmetic sequence with common difference of -19 - (-16) = -3.

The nth term = a1 + d(n -1) where a1 = first term and d = common difference so here we have:

an = -16 - 3(n - 1)

= -3n - 13