At Consecutive Multiples

Consecutive integers are lists of integers that have a common difference between the terms. Odd and even numbers have a common difference of two between each term. Multiples of three have a common difference of three between the consecutive terms, and so on. 

The Problem The sum of four consecutive odd numbers is 64. What are the numbers  

The Problem The sum of five consecutive even integers is 100. What is the difference between the largest and the smallest of these integers  

In the previous problem, you really didn t need to find the even numbers in the list. If you have five consecutive even integers, they re always n, n + 2, n + 4, n + 6, and n + 8, no matter what n is. The difference between the largest and the smallest is (n + 8) - n = 8. 

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