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Given the following geometric sequence, find the common ratio: {3, 18, 108, ...). -6 6

User Majd
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Final answer:

The common ratio of the given geometric sequence is 6.

Step-by-step explanation:

A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. To find the common ratio of the given sequence {3, 18, 108, ...}, we can divide any term by its previous term. Let's take the second term, 18, and divide it by the first term, 3.

18 / 3 = 6

Therefore, the common ratio of the geometric sequence is 6. Each term is obtained by multiplying the previous term by 6.

User Frank De Jonge
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