Introduction to Recursive Numbers
Explore the concept of recursive numbers and how recurrence relations generate terms based on previous ones. Learn to identify base and recursive cases, understand recursive functions, and apply this pattern to solve problems that reduce to smaller instances. This lesson helps deepen your grasp of recursion for complex problem-solving in dynamic programming.
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Overview
A recursive number is a number that can be generated from a sequence of one or more previous terms through a recurrence relation. A recurrence relation is an equation that uses recursion to relate the terms in a sequence. That means the term of a sequence can be generated from its previous ...
In this pattern, we will be discussing 11 problems related to the this pattern. The following diagram shows an overview of these problems.
A recursive function is a function that calls itself with a reduced problem set. A recursive function has the following:
- The base case, a trivial case that can be solved easily
- The recursive case, a case that implements the recurrence relation
An example of recurrence relation for finding the ...