What is the sum of the first 2018 positive integers?

Positive integers normally form an arithmetic sequence such that in this case the initial term is 1 and the common difference is 1.

The number of terms is 2018 and therefore n = 2018

Sn = n/2 (2a + (n-1) d) where Sn is the sum of n terms, a is the first term and d is the common difference.

Substituting the unknowns with the values

we get Sn = 2018/2 (2 + (2017) 1)

= 2018 / 2 (2019)

= 4074342/2

= 2037171

Therefore the sum of the first 2018 positive integer is 2037171.