Calculate the nth term of the sequence 21+44+89+.......

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Calculate the n^{th} term of the sequence {1}{2}+{4}{4}+{9}{8}

Question

Calculate the $n^{t h}$ term of the sequence $\frac{1}{2} + \frac{4}{4} + \frac{9}{8} + ......$ .

\frac{n ^{2}}{2 n}

\frac{n ^{2}}{2 ^{n}}

\frac{n}{2 ^{n}}

None of these

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Elijah Discussed

Calculate the

n^{t h}

term of the sequence

\frac{1}{2} + \frac{4}{4} + \frac{9}{8} + ......

9 mins ago

Discuss this question LIVE

9 mins ago

Given series is

\frac{1}{2} + \frac{4}{4} + \frac{9}{8} + .......

It is seen that the numerator is moving in sequence like

1^{2}, 2^{2}, 3^{2} .........

and so on.

And the denominator is moving in sequence like

2^{1}, 2^{2}, 2^{3} .........

and so on.

Thus the sequence is

\frac{1 ^{2}}{2 ^{1}}, \frac{2 ^{2}}{2 ^{2}} ........

and so on.

Thus the

n^{t h}

term is

\frac{n ^{2}}{2 ^{n}}

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Question Text	Calculate the $n^{t h}$ term of the sequence $\frac{1}{2} + \frac{4}{4} + \frac{9}{8} + ......$ .
Answer Type	Text solution:1
Upvotes	150