2015 AIME I Problems: Difference between revisions
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==Problem 1== | |||
The expressions <math>A</math> = <math> 1 \times 2 + 3 \times 4 + 5 \times 6 + \cdots + 37 \times 38 + 39 </math> and <math>B</math> = <math> 1 + 2 \times 3 + 4 \times 5 + \cdots + 36 \times 37 + 38 \times 39 </math> are obtained by writing multiplication and addition operators in an alternating pattern between successive integers. Find the positive difference between integers <math>A</math> and <math>B</math>. | |||
Revision as of 16:55, 20 March 2015
Problem 1
The expressions
=
and
=
are obtained by writing multiplication and addition operators in an alternating pattern between successive integers. Find the positive difference between integers
and
.