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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 \(a_{14}?\)

\[\frac{3}{40}\] \[\frac{1}{40}\] \[\frac{1}{20}\] \[\frac{1}{10}\]

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by Mahindra Jain

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