Find the indicated terms in each of the sequences in where $n^{t h}$ terms are :

$a_{n} = \frac{n^{2}}{2^{n}}; a_{7}$

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Solution

Here, $a_{n} = \frac{n^{2}}{2^{n}}$

Putting n = 7, we have

$a_{7} = \frac{(7)^{2}}{2^{7}} = \frac{49}{128}$

Thus, the $7^{t h}$ term of sequence is $\frac{49}{128} .$

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