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17:44

What is the common ratio of the sequence?
-2, 6, -18,54
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1 Answer

4 votes

Answer:

The common ratio is -3

Explanation:

we know that

In a Geometric Sequence each term is found by multiplying the previous term by a constant called the common ratio

In this problem we have

-2,6,-18,54...

Let

a1=-2, a2=6,a3=-18,a4=54

a2/a1=6/-2=-3

a3/a2=-18/6=-3

a4/a3=54/-18=-3

Each term (except the first term) is found by multiplying the previous term by -3

therefore

we have a geometric sequence and the common ratio is -3

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