In recent years, the study of these equations has been enriched by the exploration of recurrence relations – iterative frameworks that encode the inherent structure of sequences and series.

Higher Sequences Solving linear recurrence relations A recurrence relation is a sequence that gives you a connection between two consecutive terms.

We investigate whether a series with terms defined recursively by the relation xn+1 = f (xn), for all n ≥ 1, converges or diverges. For the examples studied, the ratio test is inconclusive. We provide ...

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.