Use induction to prove that (f(n)=8^{n}-1) is divisible by 7 for all natural numbers (n). For the

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Use induction to prove that $f(n)=8^{n}-1$ is divisible by 7 for all natural numbers $n$. For the induction step, show that

\[
8^{k+1}-1=7 \cdot 8^{k}+\left(8^{k}-1ight)
\]

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 28, 2024 12:02 AM

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Use induction to prove that (f(n)=8^{n}-1) is divisible by 7 for all natural numbers (n). For the

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First a brief explanation of induction Mathematical induction is a method used to prove a statement ...View the full answer

Calculus

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