How to calculate the sum (1+2)+(2+3)+(3+4)+...(2012+2013)+(2013+2014)?

1 Answer
Feb 19, 2018

4056195

Explanation:

This sum has 2013 bracketed terms, with average value:

((1+2)+(2013+2014))/2 = 2015

So the sum is:

2013 * 2015 = 2014^2-1 = 4056195