Question

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

Answer 1

The common ratio of 2 , 3 , 9/2 is 3/2

Solution:

Given, series of elementes are 2, 3, 9/2

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.

let, those numbers be a1 , a2 and a3

So now,

a1 = 2

a2 = 3

a3 = 9/2

Now,

`(a2)/(a1)` =
`(3)/(2)`

`(a3)/(a2)` =
`(9/2)/(2)`

=
`(9)/(2)` x
`(3)/(1)`

= (
`(27)/(2)`) Which is the multiple of 3

Hence ,the common ratio of 2 , 3 , 9/2 is 3/2