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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∑_n=1^40(P_n)=\dfrac3^α-13^β and \gcd(α,β)=1, then α+β is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.