Definition:Geometric Sequence/Common Ratio
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Definition
Let $\sequence {x_n}$ be a geometric sequence in $\R$ defined as:
- $x_n = a r^n$ for $n = 0, 1, 2, 3, \ldots$
The parameter:
- $r \in \R: r \ne 0$
is called the common ratio of $\sequence {x_n}$.
Sources
- 1992: Larry C. Andrews: Special Functions of Mathematics for Engineers (2nd ed.) ... (previous) ... (next): $\S 1.2.1$: The Geometric Series
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): common ratio
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): geometric progression (geometric sequence)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): common ratio
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): geometric progression (geometric sequence)