Question

PLEASE HELPPP!!!!!

Write the first four terms of the recursive sequence: If a1=8 and an=a(n-1) -6
Is the recursive sequence arithmetic or geometric? Explain.

Answer 1

8, 2, -4, -10.

Explanation:

Each term (except the first one) is obtained by subtracting 6 from the previous one - that is what an = a(n -1) -6 means.

First term = a1 = 8 , so the second term = 8-6 = 2.

The first 4 terms are 8, 2, -4, -10.

This is an arithmetic sequence as there is a common difference of -6.