Sum of Four Consecutive Integers Calculator

This calculator computes the sum of four consecutive integers beginning from a defined integer.

In addition to calculating the sum of 4 consecutive integers, you may also need to calculate the sum of 4 consecutive even numbers, or the sum of 4 consecutive odd numbers. Although it looks a bit similar, there are still differences. These three situations are discussed separately below.

After understanding the concept of continuous integers, we use N to represent the first integer, then the second to 4th integers can be expressed as: N + 1, N + 2, and N + 3.

Therefore, the sum of 4 consecutive integers can be expressed by the formula:

N + (N + 1) + (N + 2) + (N + 3)

= N + N + 1 + N + 2 + N + 3

= 4 * N + 6

= 4 * (N + 1) + 2

This formula can also be understood as that the sum of 4 consecutive integers is equal to 4 times the second integer and plus 2.

For example: What is the sum of 4 consecutive integers 10, 11, 12 and 13?

10 + 11 + 12 + 13 = 46

Using the formula to calculate, the second integer is 11, so its 4 times is 4 * 11 = 44. Plus 2 is 44 + 2 = 46.

As we all know, even numbers are integers divisible by 2. Therefore, let the first even number is 2 * N, then the remaining 3 consecutive even numbers can be expressed as 2 * N + 2, 2 * N + 4 and 2 * N + 6. Here, N represents an integer.

So, the formula for the sum of 4 consecutive even numbers is

2 * N + (2 * N + 2) + (2 * N + 4) + (2 * N + 6)

= 2 * N + 2 * N + 2 + 2 * N + 4 + 2 * N + 6

= 8 * N + 12

= 4 * (2 * N + 2) + 4

That is, the sum of 4 consecutive even numbers is equal to 4 times the second even number and plus 4.

For example: What is the sum of 4 consecutive even numbers 50, 52, 54 and 56?

50 + 52 + 54 + 56 = 212

Using the formula to calculate, 4 * 52 + 4 = 212, the answer is correct.

Like even numbers, odd numbers are integers that are not divisible by 2. So, we can use 2 * N + 1 to represent the first integer, then the remaining 3 consecutive odd numbers can be represented as 2 * N + 3, 2 * N + 5 and 2 * N + 7. N represents an integer.

Therefore, the sum of 4 consecutive odd numbers is

(2 * N + 1) + (2 * N + 3) + (2 * N + 5) + (2 * N + 7)

= 2 * N + 1 + 2 * N + 3 + 2 * N + 5 + 2 * N + 7

= 8 * N + 16

= 4 * (2 * N + 3) + 4

Therefore, the sum of 4 consecutive odd numbers is equal to 4 times the second odd number and plus 4.

For example: What is the sum of 4 consecutive odd numbers 31, 33, 35 and 37?

31 + 33 + 35 + 37 = 136

Using the formula to calculate, 4 * 33 + 4 = 136. It is consistent with the above answer.

Through the above discussion, you should understand how to calculate the sum of 4 consecutive integers. Of course, if you want to calculate the sum of 4 consecutive even numbers or the sum of 4 consecutive odd numbers, it should be no problem.

In addition to manual calculations, this page also provides a calculator for calculating the sum of 4 consecutive integers, so that you can get the sum of 4 consecutive integers faster. The use process is also very simple, input the first integer, then select the integer type. The type can be consecutive integers, consecutive even numbers or consecutive odd numbers. Third, click calculate button to get the answer. No need to think about the whole process. Everyone is welcome to use.

Finally, if you have any comments or suggestions on the content of the article or the calculator for the sum of 4 consecutive integers, you can leave a message for discussion so that we can further improve it.