Question

What is the general form of the series 1 + 2 + 4 + 8 + 16 + … + 1,024?

Answer 1

Each term is a power of 2, starting with the zeroth power and ending with the 10th, since \(2^0=1\), \(2^1=2\), and so on, up to \(2^{10}=1024\).

Answer 2

\[\sum_{i=0}^{10}2^{i}\]