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Sequence with ratio

Calculus Level 1

Sequence $\{a_n\}$ satisfies $a_1=3, a_{n+1}=\frac{a_n}{a_n+1},$ where $n$ is a positive integer. What is the value of $a_{14}?$

\frac{1}{20}

\frac{1}{10}

\frac{1}{40}

\frac{3}{40}

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by Mahindra Jain

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