Enter sum of consecutive numbers statement:


  

The sum of 3 consecutive numbers equals 12

What are the 3 numbers?

Setup Relational Equation

1) Set up an equation where our numbers are n, n + 1, n + 2

2) We increment by 1 for each number since we have numbers.

3) We set this sum of consecutive numbers equal to 12

n + (n + 1) + (n + 2) = 12

Simplify this equation by grouping variables and constants together:

(n + n + n) + 1 + 2 = 12

3n + 3 = 12

Subtract 3 from each side to isolate 3n:

3n + 3 - 3 = 12 - 3

Cancel the 3 on the left side and we get:

3n + 3 - 3 = 12 - 3

3n = 9

Divide each side of the equation by 3 to isolate n:

3n
3
=
  
9
3

Cancel the 3 on the left side:

3n
3
=
  
9
3

n = 3

Call this n1, so we find our other 2 numbers

n2 = n1 + 1

n2 = 3 + 1

n2 = 4

n3 = n2 + 1

n3 = 4 + 1

n3 = 5

List out the 3 consecutive numbers

3 ← 1st number, or the Smallest, Minimum, Least Value

4 ← 2nd number

5 ← 3rd or the Largest, Maximum, Highest Value

Check your work:

3 + 4 + 5 ? 12

12 = 12

Final Answer:

(3, 4, 5)


You have 2 free calculationss remaining




What is the Answer?
(3, 4, 5)
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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What 1 formula is used for the Sum of Consecutive Numbers Calculator?

Given an integer n, the next consecutive number is n + 1

For more math formulas, check out our Formula Dossier

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
Math problems involving a lengthy description and not just math symbols
Example calculations for the Sum of Consecutive Numbers Calculator

Sum of Consecutive Numbers Calculator Video


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