The sum of 4 consecutive even numbers equals 36
What are the 4 even numbers?
Setup Relational Equation
1) Set up an equation where our even numbers are n, n + 2, n + 4, n + 6
2) We increment by 2 for each number since we have even numbers.
3) We set this sum of consecutive even numbers equal to 36
n + (n + 2) + (n + 4) + (n + 6) = 36
Simplify this equation by grouping variables and constants together:
(n + n + n + n) + 2 + 4 + 6 = 36
4n + 12 = 36
Subtract 12 from each side to isolate 4n:
4n + 12 - 12 = 36 - 12
Cancel the 12 on the left side and we get:
4n + 12 - 12 = 36 - 12
4n = 24
Divide each side of the equation by 4 to isolate n:
| 4n | |
| 4 |
| = |
| 24 |
| 4 |
Cancel the 4 on the left side:
| = |
| 24 |
| 4 |
n = 6
Call this n1, so we find our other 3 numbers
n2 = n1 + 2
n2 = 6 + 2
n2 = 8
n3 = n2 + 2
n3 = 8 + 2
n3 = 10
n4 = n3 + 2
n4 = 10 + 2
n4 = 12
List out the 4 consecutive even numbers
6 ← 1st number, or the Smallest, Minimum, Least Value
8 ← 2nd number
10 ← 3rd number
12 ← 4th or the Largest, Maximum, Highest Value
Check your work:
6 + 8 + 10 + 12 ? 36
36 = 36
Final Answer:
(6, 8, 10, 12)
What is the Answer?
(6, 8, 10, 12)
How does the Sum of Consecutive Numbers Calculator work?
Free Sum of Consecutive Numbers Calculator - Finds the sum of (n) consecutive integers, even or odd as well. Examples include:
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This calculator has 1 input.
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sum of 5 consecutive even numbers
sum of 5 consecutive odd numbers
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sum of five consecutive odd integers
sum of five consecutive even integers
sum of five consecutive numbers
sum of five consecutive odd numbers
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This calculator has 1 input.
What 1 formula is used for the Sum of Consecutive Numbers Calculator?
Given an integer n, the next consecutive number is n + 1
What 4 concepts are covered in the Sum of Consecutive Numbers Calculator?
- consecutive integers
- integers that follow each other
n, n + 1 - integer
- a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,... - sum of consecutive numbers
- word problem
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