Find the common ratio in this geometric sequence 3, 18, 108, 648, 3888, ...

ucatzABI

ucatzABI

Answered question

2022-11-25

Find the common ratio in this geometric sequence 3, 18, 108, 648, 3888, ...

Answer & Explanation

artyleriaCuy

artyleriaCuy

Beginner2022-11-26Added 10 answers

A term in a geometric series are obtained by multiplying the previous one by a fixed value, called ratio, which we will call r.
So, the second term 18 is obtained by the first, 3, multiplying by a value which we can easily find: if 18 = 3 r , then r = 18 3 = 6 .
The same goes for the third, since 108 = 18 6 , and so on.
You can check that also the reimaining terms obey this rule, so the ratio is 6.

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