Question

Write an explicit formula for the sequence 8, 4, 0, -4, -8, ...

Then find the 10th term in the sequence.

Answer 1

an = 8 - 4(n - 1).

10th term = -28.

Explanation:

This is an arithmetic sequence with common difference -4.

an = 8 - 4(n - 1) is the explicit formula.

The 10th term = 8 - 4(10-1)

= -28.