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Question

The 4th and 10th terms of an AP are 13 and 25 respectively. Find the first term and the common difference of the AP. Also, find its 17th term.

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Solution

4th term, 10th term are 13 and 25a+3d=13a+9d=25(a+9d)(a+3d)=25136d=12d=2a=7
First term =7, common difference =2
17th term=a+16d=39

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