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Chapter 12: Q 132. (page 1198)

In the exercise, determine if the sequence is geometric, and if so, indicate the common ratio.

2,-6,18,-54,162,-486,...

Short Answer

Expert verified

The sequence is geometric with common ratio equal to-3.

Step by step solution

01

Step 1. Given information

The sequence is2,-6,18,-54,162,-486,...

02

Step 2. Determine if the sequence is geometric, and if so, indicate the common ratio. 

Consider the sequence 2,-6,18,-54,162,-486,...

-62=-318-6=-3-5418=-3162-54=-3-486162=-3

So, the sequence is geometric with common ratio equal to-3.

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