# The sum of two consecutive integers

The sum of two consecutive integers The sum of two consecutive integers is always even. When you add two consecutive integers together, you are essentially adding two even numbers. And we know that the sum of two even numbers is always even. So, therefore, the sum of two consecutive integers is always even.

The difference between two consecutive integers is always 1. For example, the difference between 3 and 4 is 1 (4-3=1).

You can use consecutive integers to solve mathematical problems. For example, if you need to find the sum of all the integers from 1 to 100, you can use the fact that the sum of consecutive integers equals half the product of the first and last integer. So:

sum = 1/2 * (first integer + last integer)

= 1/2 * (1 + 100)

= 1/2 * 101

= 50.5

You can also use consecutive integers to find the average (or mean) of a set of numbers. For example, the average of the numbers 1, 2, 3, 4 is:

average = 1/4 * (1 + 2 + 3 + 4)

= 1/4 * (10)

= 2.5

When you add two odd numbers together, you get an even number. You also get an even number when you add two even numbers together. So, the sum of two consecutive integers will always be even. But if you take the product of two consecutive integers, the result will be odd if both integers are odd and even if both integers are even. So, the product of two consecutive odd integers will always be odd.

You can use this information to solve problems involving patterns. For example, if you need to find the next number in the pattern: 2, 4, 6, 8, … the answer is 10. Each number in the pattern is two more than the previous number. So, the next number in the pattern is 8 + 2 = 10.

You can use consecutive integers to solve problems involving multiplication and division. For example, if you need to find a number equal to 1/2 of a number, you can use the fact that the product of two consecutive integers is always even. So, if you take half of an even number, the result will be an integer. For example, if you take half of 10, the result is 5. So, five is equal to 1/2 of 10.

You can use this information to solve problems involving fractions. For example, if you need to find a number equal to 1/3 of a number, you can use the fact that the sum of three consecutive integers is always divisible by 3. So, if you take one-third of a number divisible by 3, the result will be an integer. For example, if you take one-third of 12, the result is 4. So, four is equal to 1/3 of 12.