Consecutive integers


Consecutive integers are integers that follow each other in order.We will illustrate with good examples.

Look at the following two sets. The first two are called consecutive positive integer. The last two are called consecutive negative integers

1, 2, 3, 4, 5, 6, 7, ......

12, 14, 16, 18, 20, 22 ......

-1, -2, -3, -4, -5, -6, -7, .....

-30, -32, -34, -36, -38,.....

The first set of consecutive integers is found by adding 1 to 0 and to every positive number that comes after 0

The third set of consecutive integers is found by subtracting 1 from 0 and from every negative number smaller than 0

You can also represent the first set with this expression: n + 1, with n = 0, 1, 2, .....

You can also represent the third set with this expression: 1 − n, with n = 2, 3, 4, 5,.....

If you need to know how to model the second and the fourth with an expression, study this lesson:

Consecutive even integers

A set of integers such that each integer in the set differs from the integer immediately before by a difference of 2 and each integer is divisible by 2

Example

2, 4, 6, 8, 10, 12, 14,....

You can represent this set with the following expression: 2n + 2 with n = 0, 1, 2, 3....

Consecutive odd integers

A set of integers such that each integer in the set differs from the integer immediately before by a difference of 2 and each integer is an odd number

Example

1, 3, 5, 7, 9, 11, 13,....

You can represent this set with the following expression: 2n + 1 with n = 0, 1, 2, 3....

Looking for a book that will help you sharpen your basic algebra skills?

With algebra skills, most topics are illustrated with algebra tiles as you learn skills that will help you to be successful in algebra.



Page copy protected against web site content infringement by Copyscape





worksheets-banner
Bookmark and Share