Finite Geometric Series

Finite Geometric Series

When we sum a known number of terms in a geometric sequence, we get a finite geometric series. We generate a geometric sequence using the general form:

\[{T}_{n} = a \cdot {r}^{n-1}\]

where

• \(n\) is the position of the sequence;

• \({T}_{n}\) is the \(n\)\(^{\text{th}}\) term of the sequence;

• \(a\) is the first term;

• \(r\) is the constant ratio.