Question Id : 18039 |
Context : JEE Main 2026 (24 January Morning Shift)
Let $729, 81, 9, 1, \ldots$ be a sequence and $P_n$ denote the product of the first $n$ terms of this sequence.
If $2\sum_{n=1}^{40}(P_n)=\dfrac{3^\alpha-1}{3^\beta}$ and $\gcd(\alpha,\beta)=1$, then $\alpha+\beta$ is equal to:
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