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Omni-MATH / Determine the remainder when 2^((1⋅2)/(2))+2^((2⋅3)/(2))+⋯+2^((2011⋅2012)/(2)) is divided by 7.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Determine the remainder when 21⋅22+22⋅32+⋯+22011⋅201222^{\frac{1 \cdot 2}{2}}+2^{\frac{2 \cdot 3}{2}}+\cdots+2^{\frac{2011 \cdot 2012}{2}} is divided by 7.
Plain-text mathematical notation (without MathML)
Determine the remainder when 2^((1⋅2)/(2))+2^((2⋅3)/(2))+⋯+2^((2011⋅2012)/(2)) is divided by 7.
Original LaTeX notation
Determine the remainder when $$2^{\frac{1 \cdot 2}{2}}+2^{\frac{2 \cdot 3}{2}}+\cdots+2^{\frac{2011 \cdot 2012}{2}}$$ is divided by 7.

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Source and history

task_id
129d7438-0d2e-5702-b74c-0b0c4bfd0e34
task_key
test--129d7438-0d2e-5702-b74c-0b0c4bfd0e34
task_revision_id
1
config / split
/ test

Official source

initial import