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

m (→Solution) |
|||

(2 intermediate revisions by the same user not shown) | |||

Line 2: | Line 2: | ||

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

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

− | Since <math>\sum_{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. |

− | |||

− |

## Latest revision as of 04:39, 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.