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Chapter 12: Q. 29 (page 1173)

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

鈭�2, 4, 鈭�6, 8, 鈭�10, 鈥�

Short Answer

Expert verified

The general term for the sequence whose first five terms are 鈭�2, 4, 鈭�6, 8, 鈭�10, 鈥� isan=鈭�1n2n.

Step by step solution

01

Step 1. Given information

Thefirstfivetermsofthesequenceare鈭�2,4,鈭�6,8,鈭�10,鈥�Wehavetofindthegeneraltermforthesequence.

02

Step 2. Observing the pattern 

Now,

n:12345...nTerms:鈭�24鈭�68鈭�10...Pattern鈭�112鈰�1鈭�122鈰�2鈭�132鈰�3鈭�142鈰�4鈭�152鈰�5...鈭�1n2n

03

Step 3. Conclusion

From the above table, we can observe that the general terms will bean=鈭�1n2n.

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