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.

Step-by-step 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:-

$r=\dfrac{a_{m+1}}{a_m}=\dfrac{108}{3}=\dfrac{18}{3}=6$

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