# sumof3consecutivenumbersequals33

## Enter sum of consecutive numbers statement:

The sum of 3 consecutive numbers equals 33. What are the 3 numbers?

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 33
n + (n + 1) + (n + 2) = 33

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

(n + n + n) + 1 + 2 = 33
3n + 3 = 33

## Subtract 3 from each side to isolate 3n:

3n + 3 - 3 = 33 - 3

## Cancel the 3 on the left side and we get:

3n + 3 - 3 = 33 - 3
3n = 30

 3n 3
 =
 30 3

## Cancel the 3 on the left side:

 3n 3
 =
 30 3

n = 10

Call this n1, so we find our other 2 numbers
n2 = n1 + 1
n2 = 10 + 1
n2 = 11

n3 = n2 + 1
n3 = 11 + 1
n3 = 12

## List out the 3 consecutive numbers

10 ← 1st number, or the Smallest, Minimum, Least Value
11 ← 2nd number
12 ← 3rd or the Largest, Maximum, Highest Value

10 + 11 + 12 ? 33
33 = 33

(10, 11, 12)

(10, 11, 12)

### How does the Sum of Consecutive Numbers Calculator work?

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?

1. 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