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Question

$a_{n} = \frac{n (n - 2)}{n + 3}; a_{20}$

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Solution

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We have, $a_{n} = \frac{n (n - 2)}{n + 3}$
For, $a_{20}, n = 20$
$∴ a_{20} = \frac{20 (20 - 2)}{20 + 3} = \frac{20 (18)}{23} = \frac{360}{23}$

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