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3 years ago

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

Mathematics

1 answer:

aivan3 [116]3 years ago

6 0

<u>ANSWER</u>

The common ratio is -3.

<u>EXPLANATION</u>

In general, the common ratio of a Geometric Sequence is given by:

$r = \frac{a_{n+1}}{a_{n}}$

We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.

The given sequence is -2,6,-18,54

Using the first two terms the common ratio is

$r = \frac{6}{ - 2} = - 3$

We could also used the second and third terms to get

$r = \frac{ - 18}{6} = - 3$

and so on and so forth.

Therefore the common ratio is -3.

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Step-by-step explanation:

Given

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