1. Consecutive Numbers
Algebra I

2. Consecutive Integers are numbers in counting orders Examples
-3, -2, -1, 0, 1, 2, 3
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3. When counting CONSECUTIVE ODD OR EVEN integers, you will …
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When counting CONSECUTIVE ODD OR EVEN integers, you will …
Add by 2’s
Ex + 2, + 4, + 6, + 8
When counting CONSECUTIVE integers, You will…
Add by 1’s
Ex + 1, + 2, + 3

4. Examples
The sum of two consecutive integers is 17. Find the two numbers.
x » represents 1st number
x » represents 2nd number
2x + 1 = add 1st and 2nd number together and set equal to 17. Solve.
2x = 16
X=8
Now x becomes which is 8
Now x becomes which is 9
Check
8 + 9 = 17

5. Examples
2) The sum of three consecutive integers is Find the three numbers.
x » represents 1st number
x » represents 2nd number
x » represents 3rd number
3x + 3 = add 1st, 2nd & 3rd number together and set equal to Solve.
3x = 126
X=42
Now x becomes which is 42
Now x becomes which is 43
Now x becomes which is 44
Check
=129

6. Examples
3) The sum of four consecutive integers is Find the four numbers.
x » represents 1st number
x » represents 2nd number
x » represents 3rd number
x » represents 4th number
4x + 6 = add 1st, 2nd , 3rd & 4th number together and set equal to Solve.
4x = -340
X=-85
Now x becomes which is -85
Now x becomes which is -84
Now x becomes which is -83
Now x becomes which is -82
Check
= -334

7. Examples
4) The sum of three consecutive integers is Find the three numbers.
x » represents 1st number
x » represents 2nd number
x » represents 3rd number
3x + 3 = add 1st, 2nd & 3rd number together and set equal to Solve.
3x = 102
X=34
Now x becomes which is 34
Now x becomes which is 35
Now x becomes which is 36
Check
= 105

8. Examples
5) The sum of three consecutive even integers is Find the three numbers.
x » represents 1st number
x » represents 2nd number
x » represents 3rd number
3x + 6 = add 1st, 2nd & 3rd number together and set equal to Solve.
3x = 390
X=130
Now x becomes which is 130
Now x becomes which is 132
Now x becomes which is 134
Check
= 396

9. Examples
6) The sum of four consecutive even integers is Find the four numbers.
x » represents 1st number
x » represents 2nd number
x » represents 3rd number
x » represents 4th number
4x + 12 = add these number together and set equal to Solve.
4x = 126
X=31.5
No solution: Must be whole number

10. Examples
7) The sum of three consecutive odd integers is Find the three numbers.
x » represents 1st number
x » represents 2nd number
x » represents 3rd number
3x + 6 = add 1st, 2nd & 3rd number together and set equal to Solve.
3x = 279
X=93
Now x becomes which is 93
Now x becomes which is 95
Now x becomes which is 97
Check
= 285

11. Examples
8) The sum of four consecutive odd integers is 0. Find the four numbers.
x » represents 1st number
x » represents 2nd number
x » represents 3rd number
x » represents 4th number
4x + 12 = 0 add these number together and set equal to 0. Solve.
4x = -12
X=-3
Now x becomes which is -3
Now x becomes which is -1
Now x becomes which is 1
Now x becomes which is 3
Check
= 0