Generating Function for Constant Sequence/Examples
Jump to navigation
Jump to search
Examples of Generating Function for Constant Sequence
$a_0 = 1, a_n = 2$
Let $\sequence {a_n}$ be the sequence defined as:
- $\forall n \in \Z_{\ge 0}: a_n = \begin{cases} 1 & : n = 0 \\ 2 & : n > 0 \end{cases}$
Then the generating function for $\sequence {a_n}$ is given as:
- $\map G z = \dfrac {1 + z} {1 - z}$