# Difference between revisions of "AoPS Wiki talk:Problem of the Day/August 3, 2011"

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{{:AoPSWiki:Problem of the Day/August 3, 2011}} | {{:AoPSWiki:Problem of the Day/August 3, 2011}} | ||

==Solution== | ==Solution== | ||

− | Since <math>\sum_{n=1}{\infty}\dfrac{5^n+n}{n} = \sum_{n=1}{\infty}\left(1+\frac{5^n}{n}\right)</math>, the sum diverges, since the sum is always greater than the index, due to constant 1. | + | Since <math>\sum_{n=1}^{\infty}\dfrac{5^n+n}{n} = \sum_{n=1}^{\infty}\left(1+\frac{5^n}{n}\right)</math>, the sum diverges, since the sum is always greater than the index, due to constant 1. |

{{potd_solution}} | {{potd_solution}} |

## Revision as of 03:38, 18 August 2011

## Problem

AoPSWiki:Problem of the Day/August 3, 2011

## Solution

Since , the sum diverges, since the sum is always greater than the index, due to constant 1.

*This Problem of the Day needs a solution. If you have a solution for it, please help us out by adding it.*