Consecutive Integers

Front

What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, without any gaps. For example, 1, 2, 3 or -2, -1, 0.

Front

How do you find the sum of three consecutive integers?

Back

Let the first integer be x. The next two integers will be x+1 and x+2. The sum is x + (x+1) + (x+2) = 3x + 3.

Front

If the sum of three consecutive integers is 48, what is the smallest integer?

Back

The smallest integer is 15.

Front

What are consecutive even integers?

Back

Consecutive even integers are even numbers that follow each other in order, such as 2, 4, 6 or 10, 12, 14.

Front

How do you find the sum of two consecutive even integers?

Back

Let the first even integer be x. The next even integer will be x+2. The sum is x + (x+2) = 2x + 2.

Front

If the sum of two consecutive even integers is 90, what are the integers?

Back

The integers are 44 and 46.

Front

What are consecutive odd integers?

Back

Consecutive odd integers are odd numbers that follow each other in order, such as 1, 3, 5 or 21, 23, 25.

Front

How do you find the sum of three consecutive odd integers?

Back

Let the first odd integer be x. The next two odd integers will be x+2 and x+4. The sum is x + (x+2) + (x+4) = 3x + 6.

Front

If the sum of three consecutive odd integers is 141, what are the integers?

Back

The integers are 45, 47, and 49.

Front

What is the formula for the sum of two consecutive integers?

Back

Let the first integer be x. The next integer will be x+1. The sum is x + (x+1) = 2x + 1.