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, and 4 are consecutive integers.

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 can be calculated using the formula: Sum = n/2 * (2a + (n - 1)).

Front

How do you find the largest of three consecutive even integers if their sum is known?

Back

Let the three consecutive even integers be x, x+2, and x+4. If their sum is S, then x + (x + 2) + (x + 4) = S. Solve for x to find the largest integer.

Front

What is the relationship between consecutive odd integers?

Back

Consecutive odd integers differ by 2. For example, 1, 3, 5, and 7 are consecutive odd integers.

Front

How can you express four consecutive even integers algebraically?

Back

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

Front

What is the sum of three consecutive odd integers?

Back

If the first odd integer is x, then the sum of three consecutive odd integers is x + (x + 2) + (x + 4) = 3x + 6.

Front

How do you find the middle two numbers of four consecutive integers?

Back

If the four consecutive integers are x, x+1, x+2, and x+3, the middle two numbers are x+1 and x+2.

Front

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

Back

The sum of n consecutive even integers starting from a can be calculated using the formula: Sum = n/2 * (2a + 2(n - 1)).

Front

How do you set up an equation for the sum of three consecutive integers?

Back

Let the three consecutive integers be x, x+1, and x+2. The equation for their sum is x + (x + 1) + (x + 2) = S.

Front

What is the smallest of three consecutive integers if their sum is known?

Back

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