Question

How do you find the next two terms of the geometric sequence `20, 30, 45,...`?

Answer 1

`67.5` and `101.25`

Explanation:

In a geometric sequence the ratio of a term with its immediately preceding term is always constant and is known as constant ratio. Therefore subsequent terms can be obtained by multiplying the term by common ratio.

Here in `20,30,45,......`, the ratio is `30/20=45/30=3/2=1.5`.

Hence next i.e. fourth term in the series is `45xx1.5=67.5`

and fifth term is `67.5xx1.5=101.25`