TOPICS
Search

Geometric Sequence


A geometric sequence is a sequence {a_k}, k=0, 1, ..., such that each term is given by a multiple r of the previous one. Another equivalent definition is that a sequence is geometric iff it has a zero series bias. If the multiplier is r, then the kth term is given by

 a_k=ra_(k-1)=r^2a_(k-2)=a_0r^k.

Taking a_0=1 gives the simple special case

 a_k=r^k.

The Season 1 episode "Identity Crisis" (2005) of the television crime drama NUMB3RS mentions geometric progressions.


See also

Arithmetic Progression, Common Ratio, Geometric Series

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Geometric Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GeometricSequence.html

Subject classifications