JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

a, a_1, a_2, \ldots, a_{2 n}, b

are in A.P. and

a, g_1, g_2, g_3, \ldots \ldots . g_{2 n}

b

are in G.P. and

h

is the H.M. of

a

and

b

, then

\frac{a_1+a_{2 n}}{g_1 g_{2 n}}+\frac{a_2+a_{2 n-1}}{g_2 g_{2 n-1}}+\ldots+\frac{a_n+a_{n+1}}{g_n \cdot g_{n+1}}

is equal to

View answer and explanation

Correct option: A

\frac{2 n}{h}

Option A (

\frac{2n}{h}

) is correct because the expression simplifies to this value using the properties of arithmetic and geometric progressions, and the harmonic mean.

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