The sum of 3 consecutive numbers equals 240
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 240
n + (n + 1) + (n + 2) = 240
Simplify this equation by grouping variables and constants together:
(n + n + n) + 1 + 2 = 240
3n + 3 = 240
Subtract 3 from each side to isolate 3n:
3n + 3 - 3 = 240 - 3
Cancel the 3 on the left side and we get:
3n + 3 - 3 = 240 - 3
3n = 237
Divide each side of the equation by 3 to isolate n:
| 3n | |
| 3 |
| = |
| 237 |
| 3 |
Cancel the 3 on the left side:
| = |
| 237 |
| 3 |
n = 79
Call this n1, so we find our other 2 numbers
n2 = n1 + 1
n2 = 79 + 1
n2 = 80
n3 = n2 + 1
n3 = 80 + 1
n3 = 81
List out the 3 consecutive numbers
79 ← 1st number, or the Smallest, Minimum, Least Value
80 ← 2nd number
81 ← 3rd or the Largest, Maximum, Highest Value
Check your work:
79 + 80 + 81 ? 240
240 = 240
Final Answer:
(79, 80, 81)
What is the Answer?
(79, 80, 81)
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.
sum of 2 consecutive integers
sum of 2 consecutive numbers
sum of 2 consecutive even integers
sum of 2 consecutive odd integers
sum of 2 consecutive even numbers
sum of 2 consecutive odd numbers
sum of two consecutive integers
sum of two consecutive odd integers
sum of two consecutive even integers
sum of two consecutive numbers
sum of two consecutive odd numbers
sum of two consecutive even numbers
sum of 3 consecutive integers
sum of 3 consecutive numbers
sum of 3 consecutive even integers
sum of 3 consecutive odd integers
sum of 3 consecutive even numbers
sum of 3 consecutive odd numbers
sum of three consecutive integers
sum of three consecutive odd integers
sum of three consecutive even integers
sum of three consecutive numbers
sum of three consecutive odd numbers
sum of three consecutive even numbers
sum of 4 consecutive integers
sum of 4 consecutive numbers
sum of 4 consecutive even integers
sum of 4 consecutive odd integers
sum of 4 consecutive even numbers
sum of 4 consecutive odd numbers
sum of four consecutive integers
sum of four consecutive odd integers
sum of four consecutive even integers
sum of four consecutive numbers
sum of four consecutive odd numbers
sum of four consecutive even numbers
sum of 5 consecutive integers
sum of 5 consecutive numbers
sum of 5 consecutive even integers
sum of 5 consecutive odd integers
sum of 5 consecutive even numbers
sum of 5 consecutive odd numbers
sum of five consecutive integers
sum of five consecutive odd integers
sum of five consecutive even integers
sum of five consecutive numbers
sum of five consecutive odd numbers
sum of five consecutive even numbers
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
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
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