Question

In a geometric sequence the ratio between consecutive terms is

Answer 1

if the terms of a geometric sequence are

`a_(1)`,
`a_(2)`,
`a_(3)`,
`a_(4)`, .....

then the common ratio r =
`(a_(4) )/(a_(3) )` =
`(a_(3) )/(a_(2) )` =
`(a_(2) )/(a_(1) )`

Answer 2

In a geometric sequence the ratio between consecutive terms is constant.

Explanation:

A geometric sequence is that sequence where the ratio between two consecutive terms is constant.

This ratio is called the common ratio.

For example:

Lets take an example :

1,6,36,216,1296,.....

To find the common ration we divide the second term by first term.

`(6)/(1) =(216)/(36) =6`

Here, the common ratio is 6.