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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:

1,2,3,4,5,6,7,8,9,10......1,2,3,4,5,6,7,8,9,10......

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:

i=15i\sum_{i=1} ^{5} i

== 55 ++ i=14i\sum_{i=1} ^{4} i ...