JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Let

a

and

b

be two positive real numbers. Suppose

A_1

A_2

are two arithmetic means;

G_1, G_2

are two geometric means and

{H}_1, {H}_2

are two harmonic means between

a

and

b

, then

\frac{A_1+A_2}{H_1+H_2}

is equal to

View answer and explanation

Correct option: A

\frac{2\left(a^2+b^2\right)+5 a b}{9 a b}

Option A is correct because the expression can be simplified using the formulas for arithmetic, geometric, and harmonic means.

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