where $a_0,\ a_1,\ a_2,\ ...\ a_k, c_0,\ c_1,\ c_2,\ ...\ c_k \in \mathbb{R}$ (although these can be complex numbers $\mathbb{C}$ as well, but for simplicity we keep ...

Recurrence relations can vary greatly in complexity and form depending on the specific sequence or problem being modeled. They are often used in algorithm analysis, dynamic programming, and solving ...