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Chapter 12: Q 79. (page 1184)

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

鈭�15,鈭�16,3,12,21,30,鈥�

Short Answer

Expert verified

The given sequence is not arithmetic.

Step by step solution

01

Step 1. Given Information. 

Consider the given sequence.

鈭�15,鈭�16,3,12,21,30,鈥�

02

Step 2. Find the consecutive difference of the sequence.   

Find the difference between the consecutive terms.

-16--15=13--16=1912-3=921-12=930-21=9

  • Since the common difference is not the same.
  • The value of the common difference does not exist.
03

Step 3. Conclusion. 

The sequence is not an arithmetic sequence.

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