Question

How do you find the next two terms of the geometric sequence `162, 108, 72, ...`?

Answer 1

`a=162,108,72,48,32...`

Explanation:

In order to find the `n^"th"` term of a geometric sequence, we use the following formula: `a_n=ra_(n-1)` where `r` is the common ratio between each term. In order to find `r`, we divide one term by the term that came before it.

`r=108/162=2/3`

`a_4=2/3xx72=48`

`a_5=2/3xx48=32`