pow:start
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pow:start [2024/04/22 23:55] mazur |
pow:start [2024/05/07 15:59] (current) mazur |
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| ====== Problem of the Week ====== | ====== Problem of the Week ====== | ||
| ~~NOTOC~~ | ~~NOTOC~~ | ||
| - | <box 85% round orange|Problem 7 (due Monday, May 6) > | + | <box 85% round orange| > |
| - | Prove that for every $n\geq 1$ the number | + | The problem of the week will return in the Fall 2024 semester. We thank everyone who participated this Spring. For the Summer, we suggest reviewing problems from past semesters and working on the additional problems posted at the bottom of the provided solutions. |
| - | \[ \frac{(1^2+2^2+\ldots + n^2)!}{(1!)^2\cdot(2!)^3\cdot(3!)^4\cdot\ldots \cdot(n!)^{n+1}}\] | + | |
| - | is an integer. | + | |
| </box> | </box> | ||
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| ===== Previous Problems and Solutions===== | ===== Previous Problems and Solutions===== | ||
| - | * [[pow:Problem6s24|Problem 6]] Solved by. | + | * [[pow:Problem7s24|Problem 7]] Solved by Sasha Aksenchuk. |
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| + | * [[pow:Problem6s24|Problem 6]] Solved by Sasha Aksenchuk. | ||
| * [[pow:Problem5s24|Problem 5]] We did not receive any solutions. | * [[pow:Problem5s24|Problem 5]] We did not receive any solutions. | ||
pow/start.1713844555.txt · Last modified: 2024/04/22 23:55 by mazur