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Sequences and Series question

2021 · 24 Feb · Shift 2 · Q41
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Sequences and Series question

2021 · 24 Feb · Shift 2 · Q41

JEE MainMathematicsSequences and SeriesNumerical+4 / −1
The sum of first four terms of a geometric progression (G. P.) is 6512{{65} \over {12}}1265​ and the sum of their respective reciprocals is 6518{{65} \over {18}}1865​. If the product of first three terms of the G.P. is 1, and the third term is α\alphaα, then 2 α\alphaα is ‾\underline{\hspace{2cm}}​.
Numerical answer
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