Question

What are the next three terms of the series `{4,24,144,.........}`?

Answer 1

Next three terms of geometric sequence are `864`, `5184` and `31104`.

Explanation:

In a geometric sequence, ratio between a term and its preceding term is always constant. In the given example, it is `6` as

`24/4=144/24=6`

Hence fourth term will be `144xx6=864`

Fifth term will be `864xx6=5184` and

Sixth term will be `5184xx6=31104`

Hence next three terms are `864`, `5184` and `31104`.