Use induction to prove that (n !>2^{n}) for (n geq 4). Let (left{F_{n}ight}) be the Fibonacci sequence,

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Use induction to prove that $n !>2^{n}$ for $n \geq 4$.

Let $\left\{F_{n}ight\}$ be the Fibonacci sequence, defined by the recursion formula

\[
F_{n}=F_{n-1}+F_{n-2}, \quad F_{1}=F_{2}=1
\]

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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 (n !>2^{n}) for (n geq 4). Let (left{F_{n}ight}) be the Fibonacci sequence,

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Calculus

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