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Mock AIME 5 Pre 2005 Problems/Problem 12

Revision as of 20:43, 29 March 2008 by Azjps (talk | contribs) (→‎See also: whoops)

Problem

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

Solution

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

See also

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
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