- #1
Ackbach
Gold Member
MHB
- 4,155
- 92
Here is this week's POTW:
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For each positive integer $n$, write the sum $\displaystyle\sum_{m=1}^n \frac1m$ in the form $\dfrac{p_n}{q_n}$, where $p_n$ and $q_n$ are relatively prime positive integers. Determine all $n$ such that 5 does not divide $q_n$.
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Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!
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For each positive integer $n$, write the sum $\displaystyle\sum_{m=1}^n \frac1m$ in the form $\dfrac{p_n}{q_n}$, where $p_n$ and $q_n$ are relatively prime positive integers. Determine all $n$ such that 5 does not divide $q_n$.
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Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!