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2014 UNCO Math Contest II Problems/Problem 2

Revision as of 14:43, 19 October 2014 by 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 ...")
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Problem

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


Solution

See also

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