JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

Let

a_n

be the

n

th term of a GP of positive numbers.
If

\sum_{n=1}^{100} a_{2 n}=\alpha

and

\sum_{n=1}^{100} a_{2 n-1}=\beta

, such that

\alpha \neq \beta

, then the common ratio is

View answer and explanation

Correct option: A

\frac{\alpha}{\beta}

Option A (

\frac{\alpha}{\beta}

) is correct because the ratio of the sums of even and odd terms in a GP directly gives the common ratio.

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