Question

Prove that 1−2+ 2^2 −2^3 +···+(−1)^n 2^n =2^n+1(−1)^n+1 for all nonnegative integers n.

Prove that 1−2+ 2^2 −2^3 +···+(−1)^n 2^n =2^n+1(−1)^n+1 for all nonnegative integers n.

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To calculate the sum we will use G.P.

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