Ok…I’ve been playing with some math puzzles, and the simple progressions I can handle, like: n+1 or nx.75, n-4, stuff like that, but for some reason this one has me buffalo’d…
1, 8, 27, 64…
Any suggestions, folks?
cubes.
It looks like a progression of cubes:
1[sup]3[/sup] = 1 * 1 * 1 = 1
2[sup]3[/sup] = 2 * 2 * 2 = 8
3[sup]3[/sup] = 3 * 3 * 3 = 27
4[sup]3[/sup] = 4 * 4 * 4 = 64
So the next number would be 5[sup]3[/sup] = 125.
DUH - of course! I could tell there was a progression by looking, but for some reason, cubes didn’t ‘click’ even though I had considered squares…
Thanks!
Just in case you were going to try googling or something, the word “sequence” might be slightly more applicable than “progression.” Also, check out the On-Line Encyclopedia of Integer Sequences at http://www.research.att.com/~njas/sequences/