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 ...

Remember that a recurrence relation is a sequence that gives you a connection between two consecutive terms. These two terms are usually \({U_{n + 1}}\) and \({U_n ...

A sequence is defined by the recurrence relation \({U_n} = m{U_{n - 1}} + c\) Find the values of \(m\) and \(c\) if \({U_1} = - 3\), \({U_2} = 7\) and \({U_3} = 10 ...

Abstract: We consider the problem of computing a linear recurrence relation (or equivalently a Linear Feedback Shift Register) of minimum order for a finite sequence over a field, with the additional ...

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 ...