Question

How do you find the next two terms of the geometric sequence `16, 24, 36, ...`?

Answer 1

The fourth and firth terms are `54` and `81`

Explanation:

The common ratio from one term to the next is:
`color(white)("XXX")24/16=36/24=3/2`

Given:
`color(white)("XXX")a_1=16`

`color(white)("XXX")a_2=16xx3/2=24` (as given)

`color(white)("XXX")a_3=24xx3/2=36` (as given)

`color(white)("XXX")a_4=36xx3/2=54`

`color(white)("XXX")a_5=54xx3/2=81`