## Enter sum of consecutive numbers statement:

The sum of 4 consecutive numbers equals 27

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 27

n + (n + 1) + (n + 2) + (n + 3) = 27

##### Simplify this equation by grouping variables and constants together:

(n + n + n + n) + 1 + 2 + 3 = 27

4n + 6 = 27

##### Subtract 6 from each side to isolate 4n:

4n + 6 - 6 = 27 - 6

##### Cancel the 6 on the left side and we get:

4n + 6 - 6 = 27 - 6

4n = 21

 4n 4
 =
 21 4

##### Cancel the 4 on the left side:

 4n 4
 =
 21 4

n = 5.25

Since n is not an integer, there are not 4 consecutive numbers which add up to 27

##### 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.

### 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