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In a certain A.P., 5 times the 5th term ...

In a certain A.P., 5 times the 5th term is equal to 8 times the 8th term. Then prove that its 13th term is 0.

Text Solution

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`5T_(5)=8T_(8)`
or `5(a+4d)=8(a+7d)`
or `3a+36d=0`
or `a+12d=0`
`rArrT_(13)=0`
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