Consecutive Integer Problems

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Presentation transcript:

Consecutive Integer Problems

Definition Consecutive Integers are integers that differ by one. Example 1, 2, 3, 4 Consecutive Even Integers: 50, 52, 54 Consecutive Odd Integers: 17, 19, 21 BACK

How can you describe the next Consecutive integers if you 1st number is the variable “n”? 2nd n + 1 3rd n + 2 BACK

How far apart are even numbers on the number line? -4 -3 -2 -1 0 1 2 3 4 How far apart are even numbers on the number line? 2 How far apart are odd numbers on the number line? 2 BACK

How can you describe the next Consecutive Even integers if you 1st number is the variable “n”? 2nd n + 2 3rd n + 4 BACK

How can you describe the next Consecutive Odd integers if you 1st number is the variable “n”? 2nd n + 2 3rd n + 4 BACK

Find three consecutive integers whose sum is 75. 1st n 24 2nd n + 1 25 26 3rd n + 2 Equation: n + n + 1 + n + 2 = 75 3n + 3 = 75 3n = 72 n = 24 BACK

The sum of three consecutive odd integers is -45. Find the integers. 1st n -17 2nd n + 2 -15 3rd n + 4 -13 Equation: n + n + 2 + n + 4 = -45 3n + 6 = -45 3n = -51 n = -17 BACK

Find five consecutive even integers if the sum of the first and fifth is 2 less than 3 times the fourth. -8 -6 -4 -2 BACK

Consecutive Integer Problems BACK