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SEQUENCES AND SERIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSEQUENCES AND SERIES1 Mark
Question
Find the indicated terms of the sequence, whose nth term is $a _ { n } = \frac { n ( n - 2 ) } { n + 3 }; a_{20}$
✓

Answer

Given: $a_{n}=\frac{n(n-2)}{n+3}$
$\therefore a_{20}=\frac{20(20-2)}{20+3}$$=\frac{20 \times 18}{23}=\frac{360}{23}$
Therefore, $20^{th}$ term is $\frac{360}{23}$.

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