Here’s an easy way to quickly calculate the sum of consecutive multiples or integers:

1. Find the total number of integers in the set

(last number – first number)/multiple + 1 = total # integers in set

2. Determine the average of the set

(last number + first number)/2 = average of set

3. Multiply total # integers by the average to get the sum

total # integers * average of set = sum of consecutive numbers

eg.

What is the sum of the consecutive even integers from 2 – 60?

1. Find the total # of integers

(60-2)/2 + 1 = 30

2. Find the average of the set

(60+2)/2 = 31

3. Multiply the total # integers by the average to find the sum of consecutive integers

30*31 = 930

The sum of the consecutive even integers from 2 – 60 is 930