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Question

If the first two terms of an HP be 25 and 1223 then the largest positive term of the progression is the

A
6th term
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B
7th term
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C
5th term
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D
8th term
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Solution

The correct option is D 5th term
Given 25,1223 are first and second term in HP

52,2312 are in AP

common difference =231252=712

Now, to find maximum n for which 52+(n1)(712)>0

37127n12>0

7n<37n=5
( smallest positive term of AP will be largest positive term of corresponding HP)
Option C is correct

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