1988 AIME Problems/Problem 2
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. Since is even, we thus have .
See also
1988 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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All AIME Problems and Solutions |
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