Find the indicated terms in each of the sequences in Exercises 7 to 10 whose nth terms are

Question:

Find the indicated terms in each of the sequences in Exercises 7 to 10 whose $n^{\text {th }}$ terms are :

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

Solution:

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

Substituting $n=7$, we obtain

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

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