1. Consecutive Integer Problems

2. 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
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3. How can you describe the next Consecutive integers if you 1st number is the variable “n”?
2nd n + 1
3rd n + 2
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4. How far apart are even numbers on the number line?
How far apart are even numbers on the number line? 2
How far apart are odd numbers on the number line? 2
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5. How can you describe the next Consecutive Even integers if you 1st number is the variable “n”?
2nd n + 2
3rd n + 4
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6. How can you describe the next Consecutive Odd integers if you 1st number is the variable “n”?
2nd n + 2
3rd n + 4
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7. Find three consecutive integers whose sum is 75.
1st n 24
2nd n + 1 25 26
3rd n + 2
Equation: n + n n + 2 = 75
3n + 3 = 75
3n = 72
n = 24
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8. 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 n + 4 = -45
3n + 6 = -45
3n = -51
n = -17
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9. 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
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10. Consecutive Integer Problems
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