Draft:Bpow55: Difference between revisions
Jump to navigation
Jump to search
Oscarlevin (talk | contribs) Created page with "Take any two positive integers <m>N</m> and <m>a</m>. Show that <m>N^a</m> is the sum of <m>N</m> consecutive odd integers. As an easy example, note that <m>7^{13} = 96889..." |
Oscarlevin (talk | contribs) No edit summary |
||
| Line 3: | Line 3: | ||
As an easy example, note that | As an easy example, note that | ||
<m>7^{13} = 96889010407 = 13841287195 + 13841287197 + 13841287199 + 13841287201 + 13841287203 + 13841287205 + 13841287207</m> | : <m>7^{13} = 96889010407 = 13841287195 + 13841287197 + 13841287199 + 13841287201 + 13841287203 + 13841287205 + 13841287207</m> | ||
{{Bpow}} | {{Bpow}} | ||
Current revision as of 14:43, 10 November 2014
Take any two positive integers <m>N</m> and <m>a</m>. Show that <m>N^a</m> is the sum of <m>N</m> consecutive odd integers.
As an easy example, note that
- <m>7^{13} = 96889010407 = 13841287195 + 13841287197 + 13841287199 + 13841287201 + 13841287203 + 13841287205 + 13841287207</m>
Problem by Alberto L Delgado, from the now extinct Bradley Problem of the Week.