consecutive integers

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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.

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How can you represent four consecutive integers algebraically?

Back

Four consecutive integers can be represented as n, n+1, n+2, and n+3.

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What is the sum of three consecutive even integers?

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The sum of three consecutive even integers can be represented as n + (n+2) + (n+4) = 3n + 6.

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If the sum of three consecutive even integers is -138, how do you find the smallest integer?

Back

Set up the equation: 3n + 6 = -138. Solve for n to find the smallest integer.

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What are the steps to find the sum of four consecutive even numbers?

Back

Let the first even number be n. The four consecutive even numbers are n, n+2, n+4, n+6. Their sum is 4n + 12.

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How do you find two consecutive even integers that sum to a specific number?

Back

Let the first even integer be n. The second is n+2. Set up the equation: n + (n+2) = target sum.

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

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The sum of three consecutive odd integers can be represented as n + (n+2) + (n+4) = 3n + 6.

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If the sum of three consecutive odd integers is -45, how do you find them?

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Set up the equation: 3n + 6 = -45. Solve for n to find the integers.

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

Back

If the integers are n, n+2, n+4, n+6, the middle two numbers are n+2 and n+4.

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What are the two consecutive even integers that sum to 90?

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Let the first even integer be n. The second is n+2. Set up the equation: n + (n+2) = 90.