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Chapter 12: Q. 21 (page 1173)

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

6, 7, 8, 9, 10, 鈥�

Short Answer

Expert verified

The general term for the sequence whose first five terms are 6, 7, 8, 9, 10, 鈥� isan=n+5.

Step by step solution

01

Step 1. Given information

Thefirstfivetermsofthesequenceare6,7,8,9,10,鈥�Wehavetofindthegeneraltermforthesequence.

02

Step 2. Observing the pattern

Now,

n:12345...nTerms678910...Pattern1+52+53+54+55+5...n+5

03

Step 3. Conclusion

From the above table, we can observe that the general terms will bean=n+5.

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