2018 AMC 10B Problems/Problem 16
Let be a strictly increasing sequence of positive integers such that What is the remainder when is divided by ?
Solution 1
Therefore the answer is congruent to --- Arpitr20
Solution
(not very good one)
Note that
Note that Therefore, .
Thus, . However, since cubing preserves parity, and the sum of the individual terms is even, the some of the cubes is also even, and our answer is
See Also
2018 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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