In a sports meeting a total of
![m](/media/m/1/3/6/1361d4850444c055a8a322281f279b39.png)
medals were awarded over
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
days. On the first day one medal and
![\frac{1}{7}](/media/m/f/0/a/f0afb326494e9371f2b2b1f36197939e.png)
of the remaining medals were awarded. On the second day two medals and
![\frac{1}{7}](/media/m/f/0/a/f0afb326494e9371f2b2b1f36197939e.png)
of the remaining medals were awarded, and so on. On the last day, the remaining
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
medals were awarded. How many medals did the meeting last, and what was the total number of medals ?
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In a sports meeting a total of $m$ medals were awarded over $n$ days. On the first day one medal and $\frac{1}{7}$ of the remaining medals were awarded. On the second day two medals and $\frac{1}{7}$ of the remaining medals were awarded, and so on. On the last day, the remaining $n$ medals were awarded. How many medals did the meeting last, and what was the total number of medals ?