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Harmonic Progression

If a, 4, b ar...

Question

If a, 4, b are in A.P., and a, 2, b are in G.P., then a,1, b are in:

A.P.

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G.P

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H.P

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None

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Solution

The correct option is C
H.P

a + b = 8, ab = 4 ⇒ $\frac{a + b}{a b}$ = 2 ⇒ $\frac{1}{a}$ + $\frac{1}{b}$ = $\frac{2}{1}$ ⇒ a, 1, b = H.P.

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