Question

What is the common ratio of 2, 10/3, 50/9

Answer 1

The common ratio of 2, 10/3, 50/9 is
`(10)/(6)`

Solution:

Given, series of elements are
`2, (10)/(3), (50)/(9)`

We have to find the common ratio of the above given series.

We know that, common ratio of an G.P is division of any number in that series with the previous number of the series.

So, now take
`(10)/(3)` and 2

`\text { Then, common ratio }=((10)/(3))/(2)`

`\begin{array}{l}{\text { Common ratio }=(10)/(3) * (1)/(2)} \\\\ {\text { Common ratio }=(10)/(3 * 2)=(10)/(6)}\end{array}`

Hence, the common ratio of the given series is
`(10)/(6)`