1980 AHSME Problems/Problem 25
Problem
In the non-decreasing sequence of odd integers each odd positive integer appears times. It is a fact that there are integers , and such that for all positive integers , , where denotes the largest integer not exceeding . The sum equals
Solution
Solution by e_power_pi_times_i
Because the set consists of odd numbers, and since is an integer and can be odd or even, and . However, given that can be , . Then, , and = 0, and because is an integer.
See also
1980 AHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 26 | |
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