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A sequence $\{a_n\}$ satisfies $a_1 = 1$ and \[a_n = \frac{a_{n - 1}}{1 + a_{n - 1}}\]for all n>2.$ Find $a_{10}.$

 Feb 22, 2023
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The tenth term of the sequence an can be found by substituting n = 10 into the given recurrence relation and iteratively solving for the value of a10. The result is a_10 = 1/2.

 Feb 22, 2023

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