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Prove the following claim by using induction on n: Let 0 < α be a constant....

Prove the following claim by using induction on n: Let 0 < α be a constant. Then α^0 + α^1 + α^2 ... α^n = (1-α^(n+1)) / (1 - α) You can assume α DNE 1.

Next, assume in addition that α < 1, and that n = ∞. Could you simplify the equation in this case?

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