so I get $\displaystyle \frac{4}{3} S $, which is great but how the S looks? How to make all idices the same?

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- Jan 15th 2013, 11:00 AMLisa91Re: Series equation
so I get $\displaystyle \frac{4}{3} S $, which is great but how the S looks? How to make all idices the same?

- Jan 15th 2013, 11:02 AMTheSaviourRe: Series equation
- Jan 15th 2013, 11:15 AMLisa91Re: Series equation
Well... We have $\displaystyle 3 \sum_{m=1}^{\infty} \frac{1}{m3^{m}} - 1-\frac{1}{6} +\frac{1}{3} \sum_{k=1}^{\infty} \frac{1}{k3^{k}}-2\sum_{n=1}^{\infty} \frac{2}{n3^{n}} $. Then we get $\displaystyle \frac{4}{3}\sum_{n=1}^{\infty} \frac{1}{n3^{n}} -\frac{7}{6} $ which is wrong. We should get $\displaystyle -\frac{1}{2} $.

- Jan 15th 2013, 11:45 AMTheSaviourRe: Series equation
- Jan 15th 2013, 12:06 PMLisa91Re: Series equation
Thank you all so much! Now it's ok :D