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Question

In a certain A.P. 5 times the 5th term is equal to 8 times the 8th term, then find its 13th term.

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Solution

Given: In an A.P

5×t5=8×t8

5(a+4d)=8(a+7d)

5a+20d=8a+56d

8a5a=20d56d

3a=36d

a=36d3=12d

To find:t13=a+12d=12d+12d=0 since a=12d

13th term is 0

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