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Question

Insert 2 no.s between 1 & 13 so that the sequence becomes an Harmonic progression --

A
53,73
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B
57,1
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C
35,37
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D
17,27
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Solution

The correct option is C 35,37
Inserting 2 no.s in H.P is equivalent to inserting reciprocals of them in A.P.
So. 1, 3 are in A.P. and we have to insert two more no. in such a way that it becomes an A.P.
We know, 1+ban+1

First inserted term = 1+312+1=1+23=53
Second inserted term = 1+2(23)=1+43=2+13=73
So, terms will be - 35,37

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