Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...

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 ...

Joshi and Balakrishnan (1982) obtained several recurrence relations and identities for product moments of order statistics in a random sample of size n from an arbitrary continuous distribution. In ...

The general terms of third order recursive sequences are expressed in terms of iterative formulas which do not depend on the explicit solution of the auxiliary equations. Some identities associated ...

A recurrence relation is a sequence that gives you a connection between two consecutive terms. Practise modelling situations using sequences with this Higher Maths quiz. Learn how to create and use ...