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Chapter 12: Q 78. (page 1184)

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

鈭�7,鈭�2,3,8,13,18,鈥�

Short Answer

Expert verified

The obtained value of d is 5.

Step by step solution

01

Step 1. Given Information.

Consider the given information.

鈭�7,鈭�2,3,8,13,18,鈥�

02

Step 2. Find the consecutive difference of the sequence.  

Find the difference between the consecutive terms.

-2--7=53--2=58-3=513-8=518-13=5

  • Since the common difference is the same.
  • The value of the common difference is d=5.
03

Step 3. Conclusion.

The sequence is an arithmetic sequence and the common difference is d=5.

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