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Chapter 12: Q. 249 (page 1217)

In the following exercises, find a general term for the sequence whose first five terms are shown.
-13,-12,-35,-23,-57,...

Short Answer

Expert verified

The general term for the given sequence isan=-nn+2.

Step by step solution

01

Step 1. Given information.

Find a general term for the sequence whose first five terms are shown.

-13,-12,-35,-23,-57,...

02

Step 2. Calculating the pattern.

n:12345...nTerms:鈭�13鈭�12鈭�35鈭�23鈭�57...Pattern鈭�11+2鈭�22+2鈭�33+2鈭�44+2鈭�55+2...鈭�nn+2

03

Step 3. Conclusion. 

From the above table we can observe that the general terms will bean=-nn+2.

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