How to add Consecutive numbers


 What are consecutive number 

A sequence of numbers is a sequence of numbers where there is the same difference between each term.

Flowchart

Python Source Code for Sum of Consecutive Numbers

Mathematical Formula to Derive Sum of Consecutive Numbers

Firstly, let the whole sum be 'S'


Next, Rewrite S in reverse order

Now, Add the two equations, term by term


Each term is the same , and there are 100 of them. 

Therefore we can simplify it to: 


So, we can derive the formula for the sum of numbers from 1 to any number as



Python Source Code for Mathematical Formula to Derive Sum of Consecutive Numbers


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