Answer: 712 Use the ratio an+1/an to show that the given sequence {an}is strictly

Chapter 9, Problem 12

(choose chapter or problem)

Use the ratio $a_{n+1} / a_{n}$ to show that the given sequence $\left\{a_{n}\right\}$ is strictly increasing or strictly decreasing.

$\left\{\frac{5^{n}}{2^{\left(n^{2}\right)}}\right\}_{n=1}^{+\infty}$

Equation Transcription:

${a}_{n+1}/{a}_{n}$

$\left\{{{a}_{n}}\right\}$

${\left\{{\frac{{5}^{n}}{{2}^{({n}^{2})}}}\right\}}_{n=1}^{+\infty{}}$

Text Transcription:

a_n+1 / a_n

{a_n}

{5^n /2^(n^2)}_n=1 ^+infinity

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