Adding Numbers From 1 to 100

Algebra Level 1

If you were to add all the integers from 1 to 100 inclusive, what would you get?


The answer is 5050.

Justin Ch by Justin Ch , 21, Singapore

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2 solutions

Arithmetic Progression:

S = n 2 ( a 1 + a n ) = 100 2 ( 1 + 100 ) = 5050 S = \dfrac{n}{2}(a_1 + a_n) = \dfrac{100}{2}(1 + 100) = 5050

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Jordan Cahn
Jan 3, 2019

∑ n = 1 100 n = 100 ( 100 + 1 ) 2 = 5050 \sum\limits_{n=1}^{100}n = \dfrac{100(100+1)}{2} = 5050

0 Helpful 0 Interesting 1 Brilliant 0 Confused

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