consecutive Integers

Front

What are consecutive integers?

Back

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

Front

How do you represent three consecutive integers algebraically?

Back

Three consecutive integers can be represented as x, x+1, and x+2, where x is any integer.

Front

What is the sum of three consecutive integers?

Back

The sum of three consecutive integers x, x+1, and x+2 is 3x + 3.

Front

How do you find two consecutive even integers?

Back

Two consecutive even integers can be represented as x and x+2, where x is an even integer.

Front

What is the sum of two consecutive even integers?

Back

The sum of two consecutive even integers x and x+2 is 2x + 2.

Front

How do you find three consecutive odd integers?

Back

Three consecutive odd integers can be represented as x, x+2, and x+4, where x is an odd integer.

Front

What is the sum of three consecutive odd integers?

Back

The sum of three consecutive odd integers x, x+2, and x+4 is 3x + 6.

Front

If the sum of three consecutive integers is -30, how do you find the smallest integer?

Back

Let the integers be x, x+1, x+2. Set up the equation: x + (x+1) + (x+2) = -30. Solve for x.

Front

What is the relationship between consecutive integers and their sums?

Back

The sum of consecutive integers can be expressed in terms of the first integer and the number of integers being summed.

Front

How do you solve for consecutive integers given their sum?

Back

Set up an equation based on the representation of the integers and solve for the variable.