MathDB
2016 Algebra #4

Source:

December 24, 2016

Problem Statement

Determine the remainder when ∑i=02015⌊2i25⌋\sum_{i=0}^{2015} \left\lfloor \frac{2^i}{25} \right\rfloor is divided by 100, where ⌊x⌋\lfloor x \rfloor denotes the largest integer not greater than xx.
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