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2 years ago

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

Mathematics

2 answers:

Len [333]2 years ago

6 0

The correct ratio is 6

zysi [14]2 years ago

5 0

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.

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