What is 1 + 2 + 3 + ....... + 99 + 100 equal to? Also what is a quick method to solve this?

1 Answer
Aug 23, 2017

5050.5050.

Explanation:

Observe that,

1+2+3+4+...+50+51+...+97+98+99+100,

=(1+100)+(2+99)+(3+98)+(4+97)+...+(50+51),

=(101)+(101)+(101)+(101)+...+(101),......(50" terms)"

=101*50,

=5050.