How do you find the sum of 5 consecutive integers?

How do you find the sum of 5 consecutive integers?

Let n be the first number. Then the next four numbers will be n+1, n+2, n+3, and n+4. Add the five numbers together and set them equal to 100: (n) + (n+1) + (n+2) + (n+3) +(n+4) = 100. Add together the five terms on the left to get 5n + 10 and let that equal 100: 5n +10 = 100.

What are 5 consecutive numbers?

40, 45, 50 and 55 are consecutive multiples of 5.

Is 5 a consecutive integers?

1, 2, 3, 4, 5, 6, and so on are consecutive numbers.

What is the sum of 5 consecutive integers is 100?

The consecutive numbers would be x + 1, x + 2, x + 3, and x + 4. When we add them together we get 5x = 100 – 10 or 90. If 5x = 90, x = 18. Therefore, the numbers are 18, 19, 20, 21, and 22, which add up to 100.

What is the sum of 5 consecutive integers is?

Reading: Theorem: If n is the sum of five consecutive integers, then n is divisible by 5. Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5.

How do you find the sum of consecutive integers?

Using the Formula (n / 2)(first number + last number) = sum, where n is the number of integers. Let’s use the example of adding the numbers 1-100 to see how the formula works.

What is a consecutive integer?

Consecutive integers are whole numbers that follow each other without gaps. For example, 15, 16, 17 are consecutive integers.

What is the sum of the five consecutive even numbers?

The five numbers are 900, 902, 904, 906 and 908. these 5 consecutive even numbers are . 900 , 902 , 904 , 906 , and , 908 . and the sum of these numbers is 4520 .

What is the sum of consecutive numbers?

An odd number of consecutive numbers has a whole number as an average. This average is always the middle number. So, that means that the sum of the numbers will be: Sum = average \times number of consecutive numbers.

What is the sum of 5 consecutive integers is 270?

Therefore, the 5 consecutive integers that have the sum of 270 are 52, 53, 54, 55, and 56.

What is the sum of 100 consecutive integers?

So, the sum of consecutive number 1 through 100 is 5,050.

What 5 consecutive numbers add up to 120?

The 5 consecutive numbers are 22 , 23 , 24 , 25 and 26.