Difference between revisions of "1975 Canadian MO Problems/Problem 1"
(Created page with "== Problem 1 == Simplify <cmath>\left(\frac{1\cdot2\cdot+2\cdot4\cdot8+\cdots+n\cdot2n\cdot4n}{1\cdot3\cdot9+2\cdot6\cdot18+\cdots+n\cdot3n\cdot9n}\right)^{1/3}</cmath>. == S...") |
(→Problem 1) |
||
| Line 1: | Line 1: | ||
== Problem 1 == | == Problem 1 == | ||
Simplify | Simplify | ||
| − | <cmath>\left(\frac{1\cdot2\ | + | <cmath>\left(\frac{1\cdot2\cdot4+2\cdot4\cdot8+\cdots+n\cdot2n\cdot4n}{1\cdot3\cdot9+2\cdot6\cdot18+\cdots+n\cdot3n\cdot9n}\right)^{1/3}</cmath>. |
== Solution == | == Solution == | ||
![\[\left(\frac{1\cdot2\cdot4+2\cdot4\cdot8+\cdots+n\cdot2n\cdot4n}{1\cdot3\cdot9+2\cdot6\cdot18+\cdots+n\cdot3n\cdot9n}\right)^{1/3}\]](http://latex.artofproblemsolving.com/1/d/1/1d1c3ffc61429c1e6337c2b09f8682707ec2e1f2.png)
.
