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Chapter 12: Q. 27 (page 1173)

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

鈭�1, 8, 鈭�27, 64, 鈭�125, 鈥�

Short Answer

Expert verified

The general term for the sequence whose first five terms are 鈭�1, 8, 鈭�27, 64, 鈭�125, 鈥� isan=鈭�1nn3.

Step by step solution

01

Step 1. given information

Thefirstfivetermsofthesequenceare鈭�1,8,鈭�27,64,鈭�125,鈥�Wehavetofindthegeneraltermforthesequence.
02

Step 2. Observing the pattern

Now,

n:12345...nTerms:鈭�18鈭�2764鈭�125...Pattern鈭�1113鈭�1223鈭�1333鈭�1443鈭�1553...鈭�1nn3

03

Step 3. Conclusion 

From the above table, we can observe that the general terms will bean=鈭�1nn3.

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