Solving Consecutive Integer Problems

Front

What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, without any gaps. For example, 1, 2, 3, and 4 are consecutive integers.

Front

How can you represent three consecutive integers algebraically?

Back

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

Front

What is the sum of three consecutive integers represented as x, x+1, and x+2?

Back

The sum is 3x + 3.

Front

How do you find the largest of three consecutive integers given a condition?

Back

Set up an equation based on the condition, solve for x, and then calculate x+2 to find the largest integer.

Front

What is the formula for the sum of n consecutive integers starting from a?

Back

The sum of n consecutive integers starting from a is given by the formula: S = n/2 * (2a + (n-1)).

Front

How can you represent three consecutive even integers algebraically?

Back

Three consecutive even integers can be represented as x, x+2, and x+4, where x is the first even integer.

Front

What is the sum of three consecutive even integers represented as x, x+2, and x+4?

Back

The sum is 3x + 6.

Front

How do you find four consecutive odd integers?

Back

Four consecutive odd integers can be represented as x, x+2, x+4, and x+6, where x is the first odd integer.

Front

What is the sum of four consecutive odd integers represented as x, x+2, x+4, and x+6?

Back

The sum is 4x + 12.

Front

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

Back

Identify the integers, set up an equation based on the problem's conditions, and solve for the variable.