Sum of Integers from 1 to n
Understand how to implement a recursive function in C++ that computes the sum of integers from 1 to a given number. Learn the importance of base and recursive cases through step-by-step code explanation and visualization, enabling you to solve similar mathematical problems using recursion.
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 number and sums up all the numbers from 1 until that number.
Below is a visual to help you understand:
The sum of all numbers up to a 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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