Category:Generating Function for Sequence of Powers of Constant

Let $c \in \R$ be a constant.

Let $\sequence {a_n}$ be the sequence defined as:

$\forall n \in \Z_{\ge 0}: a_n = c^n$

That is:

$\sequence {a_n} = 1, c, c^2, c^3, \ldots$

Then the generating function for $\sequence {a_n}$ is given as:

$\map G z = \dfrac 1 {1 - c z}$

Pages in category "Generating Function for Sequence of Powers of Constant"

The following 6 pages are in this category, out of 6 total.