Difference between revisions of "1988 AIME Problems/Problem 2"
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Revision as of 11:22, 29 September 2007
Problem
For any positive integer
, let
denote the square of the sum of the digits of
. For
, let
. Find
.
Solution
We see that
Note that this revolves between the two numbers.
See also
| 1988 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||