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Harmonic Progression

If a,b,c be i...

Question

If a,b,c be in A.P. and b,c,d be in H.P., then

A

ab = cd

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B

ad = bc

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C

bc = ad

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D

abcd = 1

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Solution

The correct option is C
bc = ad

Given that a,b,c in A.P. and b,c,d in H.P.

So, 2b = a + c and c = $\frac{2 b d}{b + d}$

$\Rightarrow$ c(b + d) = 2bd = (a + c)d $\Rightarrow$ bc = ad.

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