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Chapter 12: Q. 248 (page 1217)

In the following exercises, find a general term for the sequence whose first five terms are shown.

1,-8,27,-64,125,...

Short Answer

Expert verified

The general term for the given sequence is an=-1n(-n)3.

Step by step solution

01

Step 1. Given information.

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

1,-8,27,-64,125,...

02

Step 2. Calculating the pattern.

n:12345...nTerms:1-827-64125...Pattern鈭�11(-1)3鈭�12(-2)3鈭�13(-3)3鈭�14(-4)3鈭�15(-5)3...鈭�1n(-n)3

03

Step 3. Conclusion.

From the above table we can observe that the general terms will bean=(-1)n(-n)3.

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