Difference between revisions of "2009 UNCO Math Contest II Problems/Problem 2"

Revision as of 20:27, 19 October 2014

(a) Let $Q_n=1^n+2^n$ . For how many $n$ between $1$ and $100$ inclusive is $Q_n$ a multiple of $5$ ?

(b) For how many $n$ between $1$ and $100$ inclusive is $R_n=1^n+2^n+3^n+4^n$ a multiple of 5?

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 == See also ==
-{{UNC Math Contest box|year=2009|n=II|num-b=1|num-a=3}}
+{{UNCO Math Contest box|year=2009|n=II|num-b=1|num-a=3}}
 [[Category:Introductory Number Theory Problems]]

2009 UNCO Math Contest II (Problems • Answer Key • Resources)
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All UNCO Math Contest Problems and Solutions