Question

Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).

Answer 1

the correct ratio is 6

Answer 2

Answer: The common ratio of the given geometric sequence = 6.

Explanation:

We are given the given geometric sequence : {3, 18, 108, ...}

Here the first term =
`a_1=3`

The second term =
`a_2=ar=18`

The third term =
`a_3=ar^2=108`

Then common ratio of the above geometric sequence with n terms is given by:-

`r=(a_(m+1))/(a_m)=(108)/(3)=(18)/(3)=6`

therefore, the common ratio of the given geometric sequence = 6.