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Consecutive Numbers Algebra I

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**Consecutive Integers are numbers in counting orders Examples**

-3, -2, -1, 0, 1, 2, 3 ---|-----|------|-----|------|-----|-----|-----|-----|-----|-----|-----|-----|-----|---

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**When counting CONSECUTIVE ODD OR EVEN integers, you will …**

---|-----|------|-----|------|-----|-----|-----|-----|-----|-----|-----|-----|-----|--- 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

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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

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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

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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

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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

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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

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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

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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

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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

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