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Sum[n*((1 - (5/6)^n)^8 - (1 - (5/6)^(n - 1))^8), {n, 1, Infinity}]
Sum[n*((1 - (5/6)^n)^8 - (1 - (5/6)^(n - 1))^8), {n, 1, Infinity}]
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