Recurrence Relation ||Mathematical Analysis of recursive Algorithms

A recurrence relation is a mathematical expression that defines each term of a sequence based on the preceding terms. These relations are widely used in computer science and mathematics, particularly in algorithms and number theory. They can be linear or non-linear, homogeneous or non-homogeneous, and they can involve one or more terms of the sequence.
For example, the Fibonacci sequence is defined by the recurrence relation: [ F(n) = F(n-1) + F(n-2) ] with initial conditions ( F(0) = 0 ) and ( F(1) = 1 ).
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