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I'm asked to evaluate: $$\sum\limits_{i=0}^{n}\frac{1}{6^i}$$

Since it's a geometric series, I got $\dfrac{1-\frac{1}{6^n}}{\frac56}$ but I think it could be wrong.

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  • $\begingroup$ Did you check some simple cases? $\endgroup$ – Did Mar 15 '15 at 21:06
  • $\begingroup$ @Henry yes I do mean the ∑ sign $\endgroup$ – Sean Dowling Mar 15 '15 at 21:10
  • $\begingroup$ @Did What do you mean by some simple cases? I firstly wrote out the series, 1 + 1/6^1 + 1/6^2 $\endgroup$ – Sean Dowling Mar 15 '15 at 21:12
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    $\begingroup$ Dunno... N=0 perhaps? Or N=1? Or even, let us be foolishly daring, N=2? $\endgroup$ – Did Mar 15 '15 at 21:14
  • $\begingroup$ @Did for N=0 I get 0 for N=1 I get 7/6 $\endgroup$ – Sean Dowling Mar 15 '15 at 21:21

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