Enter sum of consecutive numbers statement:

The sum of 4 consecutive numbers equals 10

What are the 4 numbers?

Setup Relational Equation

1) Set up an equation where our numbers are n, n + 1, n + 2, n + 3

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

3) We set this sum of consecutive numbers equal to 10

n + (n + 1) + (n + 2) + (n + 3) = 10

Simplify this equation by grouping variables and constants together:

(n + n + n + n) + 1 + 2 + 3 = 10

4n + 6 = 10

Subtract 6 from each side to isolate 4n:

4n + 6 - 6 = 10 - 6

Cancel the 6 on the left side and we get:

4n + 6 - 6 = 10 - 6

4n = 4

 4n 4
 =
 4 4

Cancel the 4 on the left side:

 4n 4
 =
 4 4

n = 1

Call this n1, so we find our other 3 numbers

n2 = n1 + 1

n2 = 1 + 1

n2 = 2

n3 = n2 + 1

n3 = 2 + 1

n3 = 3

n4 = n3 + 1

n4 = 3 + 1

n4 = 4

List out the 4 consecutive numbers

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

2 ← 2nd number

3 ← 3rd number

4 ← 4th or the Largest, Maximum, Highest Value

1 + 2 + 3 + 4 ? 10

10 = 10

(1, 2, 3, 4)

(1, 2, 3, 4)
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
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