Category:Generating Function for Sequence of Powers of Constant
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This category contains pages concerning 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.
G
- Generating Function for Constant Sequence/Examples/a0=1, an=2
- Generating Function for Sequence of Powers of Constant
- Generating Function for Sequence of Powers of Constant/Examples
- Generating Function for Sequence of Powers of Constant/Examples/(b+1)^n - b^n
- Generating Function for Sequence of Powers of Constant/Examples/2^n
- Generating Function for Sequence of Powers of Constant/Examples/2^n + 3^n