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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 $a _ { n } = \frac { n ^ { 2 } } { 2 ^ { n } }; a_7$
✓

Answer

Given: $a _ { n } = \frac { n ^ { 2 } } { 2 ^ { n } }$
$\therefore a _ { 7 } = \frac { 7 ^ { 2 } } { 2 ^ { 7 } } = \frac { 49 } { 128 }$
Therefore, $7^{th}$ term is $\frac { 49 } { 128 }.$

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