Definition:Geometric Sequence/Finite
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Definition
A finite geometric sequence is a geometric sequence with a finite number of terms .
Extremes of Finite Geometric Sequence
Let $G_n = \sequence {a_0, a_1, \ldots, a_n}$ be a finite geometric sequence.
The extremes of $G_n$ are the terms $a_0$ and $a_n$ of $G_n$.
Initial Term
Let $G = \left\langle{a_0, a_1, \ldots}\right\rangle$ be a geometric sequence.
The initial term of $G_n$ is the term $a_0$.
The same definition applies to a finite geometric sequence $G_n = \sequence {a_0, a_1, \ldots, a_n}$.
Final Term
Let $G_n = \sequence {a_0, a_1, \ldots, a_n}$ be a finite geometric sequence.
The final term of $G_n$ is the term $a_n$.