Question

HELP PLIZ:/

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

Answer 1

\(\large \begin{array}{cccccccl}
1&2&4&8&16&...&1024\\
\hline\\
2^0&2^1&2^2&2^3&2^4&...&2^{10}
\end{array}\implies \huge \Sigma_{n={\color{red}{ \square}} }^{{\color{red}{ \square }} ?}a^{{\color{red}{ \square ?}} }\)

Answer 2

I STILL DONT GT IT :/

Answer 3

I assume you're acquainted with the \(\huge \Sigma\) notation?

Answer 4

YES

Answer 5

\(\huge {\begin{array}{cccccccl}
1&2&4&8&16&...&1024\\
\hline\\
{\color{red}{ 2}}^0&{\color{red}{ 2}}^1&{\color{red}{ 2}}^{{\color{blue}{ 2}}}&{\color{red}{ 2}}^{{\color{blue}{ 3}}}&{\color{red}{ 2}}^{{\color{blue}{ 4}}}&...&{\color{red}{ 2}}^{{\color{blue}{ 10}}}
\end{array}\implies \\ \quad \\
\Sigma_{n={\color{blue}{ \square }} }^{{\color{blue}{ \square }} }\quad a^{{\color{red}{ \square }} } }\)

Answer 6

well

to be precise... \(\large \begin{array}{cccccccl}
1&2&4&8&16&...&1024\\
\hline\\
{\color{red}{ 2}}^{{\color{blue}{ 0}}}&{\color{red}{ 2}}^{{\color{blue}{ 1}}}&{\color{red}{ 2}}^{{\color{blue}{ 2}}}&{\color{red}{ 2}}^{{\color{blue}{ 3}}}&{\color{red}{ 2}}^{{\color{blue}{ 4}}}&...&{\color{red}{ 2}}^{{\color{blue}{ 10}}}
\end{array}\implies \huge
\Sigma_{{\color{green}{ n}}={\color{blue}{ \square }} }^{{\color{blue}{ \square }} }\quad {\color{red}{ a}}^{{\color{green}{ \square }}}\)

so... what do you think is the "starting value" for "n" or iterator, and the "end value" for it ?