consecutive integer word problems

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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 do you represent consecutive integers algebraically?

Back

Consecutive integers can be represented as n, n+1, n+2, etc., where n is any integer.

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What are consecutive even integers?

Back

Consecutive even integers are even numbers that follow each other in order. For example, 2, 4, 6, and 8 are consecutive even integers.

Front

How do you represent consecutive even integers algebraically?

Back

Consecutive even integers can be represented as n, n+2, n+4, etc., where n is any even integer.

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What is the sum of three consecutive integers?

Back

If the integers are n, n+1, and n+2, their sum is n + (n+1) + (n+2) = 3n + 3.

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

Back

Identify the integers, assign variables, and translate the problem statement into an equation.

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

Back

If the integers are n, n+1, n+2, and n+3, their sum is n + (n+1) + (n+2) + (n+3) = 4n + 6.

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

Back

Set up an equation based on the condition, solve for n, and then find n+2.

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What does it mean when a problem states 'the sum of the smallest and 3 times the second'?

Back

It means you add the smallest integer to three times the value of the second integer.

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How do you solve for a number when given a relationship with other numbers?

Back

Translate the relationship into an equation and solve for the unknown variable.