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

##### 1 Answer
May 3, 2018

$67.5$ 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 $20 , 30 , 45 , \ldots \ldots$, the ratio is $\frac{30}{20} = \frac{45}{30} = \frac{3}{2} = 1.5$.

Hence next i.e. fourth term in the series is $45 \times 1.5 = 67.5$

and fifth term is $67.5 \times 1.5 = 101.25$