Writing the list algebraically

When writing a list of consecutive integers, you let the first integer in the list be signified with a variable. Some people like to use x, because that s the universal unknown or variable. In this chapter, you see a consistent use of another variable, n. Using n for consecutive integers is pretty standard notation, too. 

if the first integer in the list is n, then the next integer in the list is n + something. The something is that common difference between the terms in the list. Writing a list of any six multiples of 3,1 start with n, then n + 3, n + 6, n + 9, n + 12, and finally n + 15. You see that the list hinges on two things  

Iu That the terms are all the same distance apart v That the first integer is what you say it is 

I declared, here, that n is a multiple of 3.1 can do that You can do that  

Following are more examples of the algebraic representation of lists of consecutive integers. You choose the number for n, and the rest fall in line. Of course, if you want even integers, you have to pick an even integer for n  

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