Sum of Two Consecutive Integers Calculator

Sum of Two Consecutive Integers Calculator

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Here, we will discuss the sum of two consecutive integers. First of all, it must be clear that integers include three types of numbers, negative integers, positive integers, and zero, excluding decimals and fractions. Consecutive integers means that these integers are next to each other, and there are no other integers between two integers. In other words, the difference between two adjacent integers is equal to 1.

In daily life, in addition to calculating the sum of two consecutive integers, you may also be required to calculate the sum of two consecutive even integers, or to find the sum of two consecutive odd integers. The three situations are discussed separately below.

If you want to find two consecutive integers based on the sum, please go here.

Sum of two consecutive integers

Through the above discussion, we can know that two consecutive integers are two adjacent integers. Therefore, using N to represent the first integer, then the second integer can be represented by N + 1.

So, the sum of two consecutive integers can be expressed by a general formula:

N + (N + 1) = N + N + 1 = 2 * N + 1

This formula can also be understood as that the sum of two consecutive integers is equal to twice the first integer plus 1.

For example

The sum of two consecutive integers starting with 5.

5 is the first integer, the adjacent integers are 4 and 6. These 3 numbers are sorted according to the rule from small to large, 4, 5, and 6. Since 5 is the starting number, so the second integer is 6, not 4.

Therefore, their sum is 5 + 6 = 11, calculated with the formula 2 * 5 + 1 = 11.

Sum of two consecutive even integers

After discussing consecutive integers, let’s move on to consecutive even numbers. An even number is an integer that can be divided by 2. Obviously, there are two conditions. One is an integer, the other is divisible by 2.

Two consecutive even integers require that these two integers must be divisible by 2, and they are next to each other.

  • 4 and 5 are not two consecutive even integers. Although 4 is an even integer, 5 is not divisible by 2, so it is not an even number.
  • 4 and 8 are not two consecutive even integers. Although 4 and 8 are even integers, there is an even integer 6 between 4 and 8, which means that 4 and 8 are not next to each other.
  • 4 and 6 are two consecutive even integers. Because 4 and 6 are even integers, and there is no other even integer between them. All conditions are met.

After understanding the above content, we continue to discuss the sum of two consecutive even integers. We can use 2 * N to represent the first even integer, where N is an integer. Then, the second even integer can be represented by 2 * N + 2.

So, the formula for the sum of two consecutive even integers is

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

That is, the sum of two consecutive even integers is equal to twice the first even integer, then plus 2.

For example

The sum of two consecutive even integers 20 and 22.

20 + 22 = 42

Using the formula to calculate, 2 * 20 + 2 = 42, the answer is correct.

Sum of two consecutive odd integers

Similar to even integers, odd numbers are integers that are not divisible by 2. So, we can use 2 * N + 1 to represent the first odd integer, then the second odd integer is 2 * N + 3. Here N is an integer.

Therefore, the sum of two consecutive odd integers is

2 * N + 1 + 2 * N + 3 = 4 * N + 4 = 2 * (2 * N + 2)

2 * N + 2 is exactly the middle integer of these two odd integers, so the sum of two consecutive odd integers is equal to twice their middle integer.

E.g.

The sum of consecutive odd integers 11 and 13.

11 + 13 = 24

The middle integer between 11 and 13 is 12. So 2 * 12 = 24. Consistent results.

Conclusion

Well, the sum of two consecutive integers, the sum of two consecutive even numbers, and the sum of two consecutive odd numbers were discussed separately above, the corresponding formulas were obtained. In fact, the problems are not difficult. The key is to figure out the meaning of continuity, then list the numbers and add them together.

In addition, this page also provides a calculator to calculate the sum of two consecutive integers, which can calculate the sum of two consecutive integers, the sum of two consecutive even integers and the sum of two consecutive odd integers. The use of the calculator is also very simple, input the first integer, then select the corresponding integer type, and finally click Calculate button. The answer will be presented immediately. Welcome to use it!

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