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Mathematics 21 Online
OpenStudy (mew55):

Infinite Series 1/2+1/4+1/8+1/16+.....

OpenStudy (anonymous):

\[\sum_{k=1}^{\infty}\frac{ 1 }{ 2^{k} }\]

OpenStudy (mew55):

u sure? i get 1 as my answer

OpenStudy (anonymous):

well you actually didnt ask a question, so I just wrote the equation for the infinite series you wrote.

OpenStudy (mew55):

oh im sorry. my bad XD

OpenStudy (anonymous):

I'm assuming now your trying to compute the sum of the series. in that case yes the answer is one, because this is a special type of series.

OpenStudy (mew55):

special type of series? wut do u mean by that?

OpenStudy (anonymous):

|dw:1354069090367:dw| the series always increases in half intervals and approaches 1 indefinitely.

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