Powers of 2 in plain sight

Number Theory Level pending

Let \( \alpha\) be the value of the sum:

\(\sum _{ i=1 }^{ 2013 }{ { ((-1) }^{ n+1 } } \times { 2 }^{ n })\)

Find the last three digits of \( \alpha\)

×

Problem Loading...

Note Loading...

Set Loading...