Sum of Three Consecutive Integers Calculator

March 2024 ยท 2 minute read
Image to Crop The sum of three consecutive integers equals . What are the three numbers?

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

Group variables and constants together:

(n + n + n) + 1 + 2 =
3n + 3 =

Subtract 3 from each side:

3n + 3 - 3 = - 3

Cancel the 3 on the left side and we get:

3n = -3

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


Cancel the 3 on the left side:


n = -1

Call this n1, so we find our other two numbers
n2 = n1 + 1
n2 = -1 + 1
n2 = 0

n3 = n1 + 2
n3 = -1 + 2
n3 = 1

So we have three consecutive integers (n1, n2, n3) = (-1, 0, 1) with a sum -1 + 0 + 1 equal to


What is the Answer?

So we have three consecutive integers (n1, n2, n3) = (-1, 0, 1) with a sum -1 + 0 + 1 equal to

How does the Sum of Three Consecutive Integers Calculator work?

Free Sum of Three Consecutive Integers Calculator - Finds three consecutive integers, if applicable, who have a sum equal to a number. Sum of 3 consecutive integers
This calculator has 1 input.

What 1 formula is used for the Sum of Three Consecutive Integers Calculator?

n + (n + 1) + (n + 2) = T

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Sum of Three Consecutive Integers Calculator?

consecutive integersintegers that follow each other
n, n + 1integera whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...sum of three consecutive integersword problemMath problems involving a lengthy description and not just math symbols

Example calculations for the Sum of Three Consecutive Integers Calculator

Sum of Three Consecutive Integers Calculator Video


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