Presentation is loading. Please wait.

Presentation is loading. Please wait.

Consecutive Integers Consecutive Integers are integers that follow one after another. Example 1: are consecutive integers.

Similar presentations


Presentation on theme: "Consecutive Integers Consecutive Integers are integers that follow one after another. Example 1: are consecutive integers."— Presentation transcript:

1 Consecutive Integers Consecutive Integers are integers that follow one after another. Example 1: are consecutive integers.

2 In Algebra we sometimes are presented with a problem that requires a pattern of consecutive integers. The patterns are usually one of three types: 1) Consecutive Integers 2) Consecutive Even Integers 3) Consecutive Odd Integers

3 Add 2 to the 8 to get the next integer 10: Consecutive Integers Consider the example given earlier: Given the first integer 8, what would be necessary to determine the next integer of 9? Simply add 1 to the 8 to give:

4 Let x represent the first integer. Consecutive Integers What if the first integer is unknown? Simply add 1 to get the second integer. Add 2 to get the third integer.

5 Consecutive Integers Assume that we are considering three consecutive integers, and do not know the first integer. The pattern is given by: Example 2: Now assume that we know the first integer is 17. The integers are …

6 Consecutive Even Integers: Consecutive Even Integers Consecutive Odd Integers Consecutive even integers and consecutive odd integers will be considered together since they are related. Consecutive Odd Integers:

7 Consecutive Even Integers Consecutive Odd Integers Notice the common pattern for the second integer: Increase by 2

8 Consecutive Even Integers Consecutive Odd Integers Notice the common pattern for the third integer: Increase by 4 Note that it is the first integer that determines the pattern of even or odd.

9 Assume that we are considering three consecutive even integers, or three consecutive odd integers, and do not know the first integer. Both patterns are given by: Consecutive Even Integers Consecutive Odd Integers

10 Example 3: Write the pattern for three consecutive odd integers: Determine the integers if the first integer is -7:

11


Download ppt "Consecutive Integers Consecutive Integers are integers that follow one after another. Example 1: are consecutive integers."

Similar presentations


Ads by Google