ALGEBRA II - Extension 1-4D Lesson/Assignment
Name
CONSECUTIVE NUMBER PROBLEMS
Period
1. List the next 3 consecutive integers for each given number.
a) 17
b)
5
c)
2
2. List the next 3 consecutive even numbers for each given number.
a) 24
b)
8
c)
4
3. List the next 3 consecutive odd numbers for each given number.
a) 7
4.
b)
5
c)
17
a) If x represents a whole number, what algebraic expression would represent the next
(larger) whole number?
b) Write algebraic expressions for the next 3 consecutive whole numbers after x.
5.
a) If x represents an odd number, what algebraic expression represents the next (larger)
odd number?
b) Write algebraic expressions for the next 3 consecutive odd numbers after x.
EXAMPLE 1: Find four consecutive (whole) numbers that have a sum of 54.
Solution:
Let x represent the first of the four numbers. The next number is 1 more
than x, and so on.
1st number = x
2nd number =
3rd number =
4th number =
Now add these expressions and set equal to their sum of 54:
EXAMPLE 2: Find three consecutive even (whole) numbers that have a sum of 74.
Solution:
Let x represent the first of the four numbers. The next number is 1 more
than x, and so on.
1st number = x
2nd number =
3rd number =
4th number =
PRACTICE: Show work including your equation.
1. What three consecutive whole numbers have a sum of 126?
2. What five consecutive whole numbers have a sum of 150?
3. What three consecutive even numbers have a sum of 144?
HINT: Let x represent the first even number. What algebraic expression would represent the
next even number?
4. What four consecutive odd integers have a sum of 336?
5. What five consecutive even integers have a sum of
10?