The sum of first four terms of a geometric progression (G. P.) is 65/12 and the sum of their respective reciprocals is 65/18. If the product of first three terms of the G.P. is 1, and the third term is α, then 2 α is _ _ _ _ _.

Sequence and Series: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Evening shift · Q50

JEE Main 202124 Feb, Evening shiftMathematicsMediumSequence and Series179× since 2002

The sum of first four terms of a geometric progression (G. P.) is

{{65} \over {12}}

and the sum of their respective reciprocals is

{{65} \over {18}}

. If the product of first three terms of the G.P. is 1, and the third term is

\alpha

, then 2

\alpha

is _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Sequence and Series Question with Answer (24 Feb Evening shift, Q50) | JEE Arc