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

Jul 2, 2016

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

$\frac{24}{4} = \frac{144}{24} = 6$

Hence fourth term will be $144 \times 6 = 864$

Fifth term will be $864 \times 6 = 5184$ and

Sixth term will be $5184 \times 6 = 31104$

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