HMMT November 2011 E4

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 .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.