Use the Principle of Induction to prove the formula for all natural numbers (n). (1+x+x^{2}+cdots+x^{n}=frac{1-x^{n+1}}{1-x}) for any

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Use the Principle of Induction to prove the formula for all natural numbers \(n\).

\(1+x+x^{2}+\cdots+x^{n}=\frac{1-x^{n+1}}{1-x}\) for any \(x eq 1\)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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