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pow:start [2026/03/31 18:34] mazurpow:start [2026/05/04 21:04] (current) mazur
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 ====== Problem of the Week ====== ====== Problem of the Week ======
 ~~NOTOC~~ ~~NOTOC~~
-<box 85% round orange|  Problem 5 (due Monday, April 13) >+<box 85% round orange| >  
 + 
 +The problem of the week will return in the Fall 2026 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.
  
-Prove that 
-\[\sum_{k=0}^{n}{3n\choose 3k }=\frac{2}{3}\left( 2^{3n-1}+(-1)^n\right). 
-\]    
 </box> </box>
  
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 ===== Previous Problems and Solutions===== ===== Previous Problems and Solutions=====
 +
 +    * [[pow:Problem6s26|Problem 6]] No solutions were submitted.
 +
 +    * [[pow:Problem5s26|Problem 5]] Solved by Levi Axelrod and Gerald Marchesi.
  
     * [[pow:Problem4s26|Problem 4]] No solutions were submitted.     * [[pow:Problem4s26|Problem 4]] No solutions were submitted.
pow/start.1774982069.txt · Last modified: by mazur