11-21-24 Consecutive Integer Word Problems B

Front

What are consecutive integers?

Back

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

Front

How can you represent three consecutive integers algebraically?

Back

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

Front

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

Back

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

Front

How do you find the smallest of three consecutive integers given their sum?

Back

If the sum of three consecutive integers is S, the smallest integer can be found using the formula: (S/3) - 1.

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 can you represent four consecutive odd integers algebraically?

Back

Four consecutive odd integers can be represented as n, n+2, n+4, and n+6, where n is an odd integer.

Front

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

Back

The sum of four consecutive integers n, n+1, n+2, and n+3 is 4n + 6.

Front

How do you find the largest of four consecutive integers given their sum?

Back

If the sum of four consecutive integers is S, the largest integer can be found using the formula: (S/4) + 1.

Front

What is the relationship between the smallest and largest of three consecutive integers?

Back

In three consecutive integers n, n+1, and n+2, the largest integer is always 2 more than the smallest integer.

Front

How do you set up an equation for a word problem involving consecutive integers?

Back

Identify the integers, assign variables, and create an equation based on the relationships described in the problem.