# Category:Definitions/Arithmetic-Geometric Sequences

This category contains definitions related to Arithmetic-Geometric Sequences.
Related results can be found in Category:Arithmetic-Geometric Sequences.

An arithmetic-geometric sequence is a sequence $\sequence {a_k}$ in $\R$ defined as:

$a_k = \paren {a_0 + k d} r^k$

for $k = 0, 1, 2, \ldots$

Thus its general form is:

$a_0, \paren {a_0 + d} r, \paren {a_0 + 2 d} r^2, \paren {a_0 + 3 d} r^3, \ldots$

## Pages in category "Definitions/Arithmetic-Geometric Sequences"

The following 3 pages are in this category, out of 3 total.