Sum of Integers from 1 to n
Explore how to implement a recursive Java method that sums integers from 1 to a given number n. Understand the base case and recursive case clearly, and learn how the recursion stack helps solve this fundamental numerical problem.
What does the sum of integers from 1 to n mean?
Natural numbers are positive numbers starting from 1. These can be written as:
We want to write a program that takes a particular number and sums up all the numbers from 1 up until that number.
The illustration below explains the concept to help you understand.
The sum of all numbers up to a particular number is equal to the sum of that number and the sum of all the numbers before it. It can be seen as follows:
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