Question

How do you find the next two terms of the geometric sequence `1.25, -1.5, 1.8,...`?

Answer 1

`-2.16, 2.592`

Explanation:

To find the ratio between two consecutive terms, divide the second term by the first term.

`-1.5/1.25`
`-1.2`

To find the next two terms, multiply the last term by the ratio.

`1.8*-1.25`
`=-2.16`

And to find the final term, repeat the process

`-2.16*1.25=2.592`