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Omni-MATH / Determine the remainder when…

Problem

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problem

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.
Plain-text mathematical notation (without MathML)
Determine the remainder when ∑_(i=0)²⁰¹⁵⌊(2^(i))/(25)⌋ is divided by 100, where ⌊x⌋ denotes the largest integer not greater than x.
Original LaTeX notation
Determine the remainder when $$\sum_{i=0}^{2015}\left\lfloor\frac{2^{i}}{25}\right\rfloor$$ is divided by 100, where $\lfloor x\rfloor$ denotes the largest integer not greater than $x$.

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Source and history

task_id
6e58b8db-f3a3-5f34-9c93-11030bff2f2a
task_key
test--6e58b8db-f3a3-5f34-9c93-11030bff2f2a
task_revision_id
1
config / split
/ test

Official source

initial import