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The sum of series upto 10 terms x1x2+x21x4+x41x8+.... is 11x11xp\frac{x}{1-x^2}+\frac{x^2}{1-x^4}+\frac{x^4}{1-x^8}+....~is~\frac{1}{1-x}-\frac{1}{1-x^p}. Find p

Note by Kyle Finch
6 years, 1 month ago

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Comments

The answer is

11x11x1024\frac{1}{1-x}-\frac{1}{1-x^{1024}}

p=1024\Rightarrow p=1024

In each term, add one and subtract one from numerator. Then split term into two and you will see that it is a telescopic series.

Raghav Vaidyanathan - 6 years, 1 month ago

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Thanx man for the help.

Kyle Finch - 6 years, 1 month ago

@Raghav Vaidyanathan

Kyle Finch - 6 years, 1 month ago

@Brian Charlesworth

Kyle Finch - 6 years, 1 month ago

Raghav Vaidyanathan Brian Charlesworth plz help

Kyle Finch - 6 years, 1 month ago

the general term of series cannot be determined

Raghav Vaidyanathan - 6 years, 1 month ago

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it has its answer as p=1024

Kyle Finch - 6 years, 1 month ago
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