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Chapter 12: Q. 12.12 (page 1167)

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

11,14,19,116,125,鈥�

Short Answer

Expert verified

The general term for the given sequence isan=1n2.

Step by step solution

01

Step 1. Given information

Thegivensequenceis11,14,19,116,125,鈥�Wehavetofindthegeneraltermforthegivensequence.

02

Step 2. Observing the pattern 

n12345...nTerms111419116125...Pattern112122132142152...1n2

03

Step 3. Conclusion

From the table in the above step, we can observe that the numerators are all 1. The denominator is the square of the number of terms.

Therefore,

The general term of the given sequence can be written asan=1n2.

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