Solving for Consecutive Numbers (2.2.4) Flashcards
• Consecutive numbers: Counting numbers that follow one after another. For example, 6, 7, 8, 9,… are consecutive numbers. Consecutive numbers take the form: x, x + 1, x + 2, …
• Consecutive numbers: Counting numbers that follow one after another. For example, 6, 7, 8, 9,… are consecutive numbers. Consecutive numbers take the form: x, x + 1, x + 2, …
• Consecutive even numbers: Even numbers that follow one another when counting; e.g., 2, 4, 6, …. Consecutive even numbers take the form: 2x, 2x + 2, 2x + 4, …
• Consecutive even numbers: Even numbers that follow one another when counting; e.g., 2, 4, 6, …. Consecutive even numbers take the form: 2x, 2x + 2, 2x + 4, …
• Consecutive odd numbers: Odd numbers that follow one another when counting; e.g., 5, 7, 9, … Consecutive odd numbers take the form: 2x + 1, 2x + 3, 2x + 5, …
• Consecutive odd numbers: Odd numbers that follow one another when counting; e.g., 5, 7, 9, … Consecutive odd numbers take the form: 2x + 1, 2x + 3, 2x + 5, …
Read the problem. In this example, it’s short and to the point.
Determine the facts. Because the requested numbers are odd, they come every other number in the counting sequence. So the problem sets up as the first number, that one plus 2, and that one plus 2 more.
Read the problem. In this example, it’s short and to the point.
Determine the facts. Because the requested numbers are odd, they come every other number in the counting sequence. So the problem sets up as the first number, that one plus 2, and that one plus 2 more.
Define the variable. Guarantee the numbers are odd by using 2’s, which as a multiple of 2 would be even, then add 1 to make the number odd.
Write the equation. In this example, it is the sum of the three numbers.
Define the variable. Guarantee the numbers are odd by using 2’s, which as a multiple of 2 would be even, then add 1 to make the number odd.
Write the equation. In this example, it is the sum of the three numbers.
Now, solve the equation.
NOTE: The variable may not be the answer. Use its value
to get the requested information.
Now, solve the equation.
NOTE: The variable may not be the answer. Use its value
to get the requested information.
Remember: Check to see that the requested information has been discovered.
Check the answers to see that they work.
Remember: Check to see that the requested information has been discovered.
Check the answers to see that they work.
