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

Revision as of 17:13, 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 $\fbox{:)}(1) + \fbox{:)}(2) + \fbox{:)}(3) + \fbox{:)}(4) + . . .+ \fbox{:)}(289)$

Revision as of 14:43, 19 October 2014 (view source) Timneh (talk \| contribs) (Created page with "== Problem == Define the Cheshire Cat function <math>\fbox{:)}</math> by <cmath>\begin{align*} \fbox{:)}(x) &= -x \quad \text {if } x \text{ is even and} \\ \fbox{:)}(x) &= x ...")	Revision as of 17:13, 19 October 2014 (view source) Timneh (talk \| contribs) m (moved 2014 UNC Math Contest II Problems/Problem 2 to 2014 UNCO Math Contest II Problems/Problem 2: disambiguation of University of Northern Colorado with University of North Carolina) Newer edit →
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