Question

What is the next number in this geometric sequence -3.24, 9.72, -29.16, 87.48?

Answer 1

The next term is `-262.44`

Explanation:

We can write an expression as follows for the nth term. The signs alternate between negative and positive. Each term is 3 times more that the preceding one with a different sign.

`(-3.24)(-3)^n` where `n` is an integer starting at `0`

`(-3.24)(-3)^0=-3.24`

`(-3.24)(-3)^1=9.27`

`(-3.24)(-3)^2=-29.16`

`(-3.24)(-3)^3=87.48`

`(-3.24)(-3)^4=-262.44`