2015 AIME I Problems/Problem 1

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 $B$ .

2015 AIME I (Problems • Answer Key • Resources)
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2015 AIME I Problems/Problem 1

Problem

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