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

1990 AHSME Problems/Problem 30

Revision as of 22:58, 18 February 2012 by Ckorr2003 (talk | contribs) (Created page with "Let <math>R_n=\frac{1}{2}(a^n+b^n)</math> for each non-negative integer <math>n</math> where <math>a=3+2\sqrt{2}</math> and <math>b=3-2\sqrt{2}</math>. The value of <math>R_{1234...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Let $R_n=\frac{1}{2}(a^n+b^n)$ for each non-negative integer $n$ where $a=3+2\sqrt{2}$ and $b=3-2\sqrt{2}$. The value of $R_{12345}$ is an integer. What is its units digit?

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1990_AHSME_Problems/Problem_30&oldid=44847"