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Functions

Find the indi...

Question

Find the indicated term in the sequence, whose $n^{t h}$ term is: $a_{n} = \frac{n^{2}}{2^{n}}; a_{7}$ .

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Solution

Finding $a_{7}$ term of sequence.
Given, $a_{n} = \frac{n^{2}}{2^{n}}$
Substituting $n = 7$ in $a_{n}$ , we get
$a_{7} = \frac{(7)^{2}}{2^{7}}$
$\Rightarrow a_{7} = \frac{49}{128}$ .

Hence, the value of $a_{7}$ term of sequence is $\frac{49}{128}$ .

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