Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2015 AIME I Problems/Problem 1

Revision as of 15:23, 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...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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 $B$.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2015_AIME_I_Problems/Problem_1&oldid=69225"