Question

When any term in this sequence is divided by the previous term, the result is always the same. 3, -6, 12, -24, ... What is the 7th term of this sequence?

Answer 1

192.

Explanation:

Each term is found by multiplying by -2:

5th term = -24*-2 = 48.

6th term = 48*-2 = -96

7th term = -96*-2 = 192.

This is a geometric sequence with common ratio -2.

The nth term = 3(-2)^(n-1).