Question

Can someone please explain the sum of Sn? I’m super confused

Answer 1

Sn of a geometric series is defined as the sum of a particular number of terms of the geometric sequence, given its first term and the common ratio.

To determine Sn, we use

`S_n=(a_1-a_1r^n)/(1-r)`

which can otherwise be expressed as

`S_n=(a_1(1-r^n))/(1-r)`

Where

`\begin{gathered} a_1\Rightarrow first\text{ term of the geometric series} \\ r\Rightarrow\text{common ratio of the geometric series} \\ n\Rightarrow number\text{ of terms in the geometric series} \\ S_n\Rightarrow sum\text{ of the n number of terms in the geometric series} \end{gathered}`