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
[tex]S_n=\frac{a_1-a_1r^n}{1-r}[/tex]
which can otherwise be expressed as
[tex]S_n=\frac{a_1(1-r^n)}{1-r}[/tex]
Where
[tex]\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}[/tex]
