Difference between revisions of "2014 UNCO Math Contest II Problems/Problem 2"

Revision as of 17:18, 19 October 2014

Define the Cheshire Cat function $\fbox{:)}$ by

$\begin{align*} \fbox{:)}(x) &= -x \quad \text {if } x \text{ is even and} \\ \fbox{:)}(x) &= x \quad \text{ if }x \text{ is odd} \end{align*}$

Find the sum $\fbox{:)}(1) + \fbox{:)}(2) + \fbox{:)}(3) + \fbox{:)}(4) + . . .+ \fbox{:)}(289)$

@@ Line 14: / Line 14: @@
 == See also ==
-{{UNC Math Contest box|year=2014|n=II|num-b=1|num-a=3}}
+{{UNCO Math Contest box|year=2014|n=II|num-b=1|num-a=3}}
 [[Category:Introductory Algebra Problems]]

2014 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 1	Followed by Problem 3
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNCO Math Contest Problems and Solutions