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91Ó°ÊÓ

In the following exercises, determine if the sequence is arithmetic and if so, indicate the common difference.

8,5,2,−1,−4,−7,…

Short Answer

Expert verified

The value of d is -3.

Step by step solution

01

Step 1. Given Information.

Consider the given information.

8,5,2,−1,−4,−7,…

02

Step 2. Find the consecutive difference of the sequence.

Find the difference between the consecutive terms.

5-8=-32-5=-3-1-2=-3-4--1=-3-7--4=-3

  • Since the common difference is the same.
  • The value of the common difference isd=-3.
03

Step 3. Conclusion. 

The sequence is an arithmetic sequence and the common difference is d= -3.

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