Difference between revisions of "Mock AIME 5 Pre 2005 Problems/Problem 12"

Revision as of 21:43, 29 March 2008

Let $m = 101^4 + 256$ . Find the sum of digits of $m$ .

By the binomial theorem, $101^4 + 256 = 104060401 + 256 = 104060657$ , and $s(m) = \boxed{029}$ .

@@ Line 6: / Line 6: @@
 == See also ==
-{{Mock AIME box|year=Pre 2005|n=1|num-b=8|num-a=10|source=14769}}
+{{Mock AIME box|year=Pre 2005|n=5|num-b=11|num-a=13|source=28368}}
 [[Category:Introductory Algebra Problems]]

Mock AIME 5 Pre 2005 (Problems, Source)
Preceded by Problem 11	Followed by Problem 13
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15