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2015 AIME I Problems/Problem 1

Revision as of 14:23, 20 March 2015 by Spartan168 (talk | contribs) (Created page with "==Problem== The expressions <math>A</math> = <math> 1 \times 2 + 3 \times 4 + 5 \times 6 + *** + 37 \times 38 + 39 </math> and <math>B</math> = <math> 1 + 2 \times 3 + 4 \tim...")
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Problem

The expressions $A$ = $1 \times 2 + 3 \times 4 + 5 \times 6 + *** + 37 \times 38 + 39$ and $B$ = $1 + 2 \times 3 + 4 \times 5 + *** + 36 \times 37 + 38 \times 39$ are obtained by writing multiplication and addition operators in an alternating pattern between successive integers. Find the positive difference between integers $A$ and $B$.

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