Writing up sums and solving them

Consecutive integer problems have a common theme Take a list of consecutive integers, perform a certain operation, and you get a numerical result. When writing the equations needed to solve these problems, you use a fairly common pattern Let n represent the first number in the list, let n + d (where d is the common difference) be the second number, let n + 2d be the third number, and so on. The most common operation performed in these problems is addition — so add em up. 

The Problem The sum of three consecutive integers is 45. What are the integers  

The Problem The sum of four consecutive integers is 38. What is the largest number  

The Problem The sum of eight consecutive integers is 4. What is their product  

You may think that there s been some error here. How can eight consecutive integers add up to a number smaller than the number of integers The answer to that question is Negative numbers. Keep that in mind as you answer the question posed in this problem. 

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