Hi, I'm having trouble turning this summation notation into a function, any help would be greatly appreciated. Thank you.

http://minerva.ccs.neu.edu/cgi-bin/C...s/sumtoinf.gif (1/5)^k

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- Nov 26th 2006, 09:43 PMcheckeredshawnsummation notation
Hi, I'm having trouble turning this summation notation into a function, any help would be greatly appreciated. Thank you.

http://minerva.ccs.neu.edu/cgi-bin/C...s/sumtoinf.gif (1/5)^k - Nov 26th 2006, 10:31 PMearboth
Hello,

what you describe is one value because the infinite geometric serie is convergent. The limes can be calcutated:

$\displaystyle s=\frac{a_1}{1-q}$.

With your problem $\displaystyle a_1=\frac{1}{5}\text{ and }q=\frac{1}{5}$. Plug in these values:

$\displaystyle s=\frac{\frac{1}{5}}{1-\frac{1}{5}}=\frac{1}{4}$.

EB