Solution
= Solution
The <finite geometric series> has eleven terms, from $2^1$ through $2^{11}$. With common ratio $2$,
$$
\boxed{N_2=2\frac{2^{11}-1}{2-1}=4094.}
$$
Counting the powers explicitly avoids omitting the final $2048$ term.
= Solution
The <finite geometric series> has eleven terms, from $2^1$ through $2^{11}$. With common ratio $2$,
$$
\boxed{N_2=2\frac{2^{11}-1}{2-1}=4094.}
$$
Counting the powers explicitly avoids omitting the final $2048$ term.