Consecutive integers example

These methods may be called analytical, by contrast with another class of iterations that might be called arithmetic, since they exploit the fact that the number representation is finite and digital. The familiar Homer s method is an example. The first step is to establish that a root lies between a certain pair of consecutive integers. Next, if the representation is decimal, f(x) is evaluated at consecutive tenths to determine the pair of consecutive tenths between which the root lies. This is repeated for the hundredths, thousandths, etc., to as many places as may be desired and justified. 

CONSECUTIVE INTEGERS integers that follow one after the other in order. They differ by one. Example 4, 5, 6, 7, 8, 9. ... ... 

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 ... 

CONSECUTIVE EVEN INTEGERS even integers that follow one another in order. They differ by two. Example -4, -2, 0, 2, 4, 6. .. 

Pick a number, and you can make a list of integers that are multiples of that number. You can also make a symbolic list (using math symbols) of integers that are multiples of a number by starting with n and adding the number repeatedly. For example, a list of six consecutive multiples of 7, starting with 63 is 63, 70, 77, 84, 91, 98. Symbolically, a list of any six multiples of 7 is n, n + 7, n + 14, n + 21, n + 28, n + 35. 

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