5.OA.3 Numerical Patterns

How do you identify the rule in a numerical pattern?

• By observing the differences or ratios between consecutive terms and determining if they follow a consistent operation such as addition, subtraction, multiplication, or division.

• By randomly guessing the next number in the sequence.

• By looking for patterns in the digits of the numbers only.

• By using a calculator to find the average of the numbers.

What is a numerical pattern?

• A sequence of numbers that follows a specific rule or formula, allowing for the prediction of subsequent numbers in the sequence.

• A random arrangement of numbers with no discernible order.

• A collection of numbers that are all the same value.

• A set of numbers that only increases without any specific rule.

What is the difference between an arithmetic pattern and a geometric pattern?

• An arithmetic pattern involves adding or subtracting a constant value, while a geometric pattern involves multiplying or dividing by a constant value.

• An arithmetic pattern involves multiplying or dividing by a constant value, while a geometric pattern involves adding or subtracting a constant value.

• An arithmetic pattern is a sequence of numbers that increases exponentially, while a geometric pattern is a linear sequence.

• An arithmetic pattern is a random sequence, while a geometric pattern follows a specific rule.

What is the common difference in the sequence: 2, 5, 8, 11...?

• 1

• 2

• 3

• 4

What is the rule for the pattern: 5, 10, 15, 20...?

• Add 3

• Add 4

• Add 5

• Add 6

How do you determine the second term in a pattern that starts at 7 and adds 1?

• 7

• 8

• 9

• 6

In the pattern 4, 8, 16, 32..., what is the rule?

• Add 4

• Multiply by 2

• Subtract 4

• Divide by 2

What is a sequence?

• A sequence is an unordered collection of numbers.

• A sequence is a list of numbers that follows a specific rule or pattern.

• A sequence is a random arrangement of numbers.

• A sequence is a set of numbers without any specific order.

If a pattern starts at 3 and follows the rule 'Add 4', what are the first five terms?

• 3, 7, 11, 15, 19

• 3, 8, 12, 16, 20

• 3, 6, 10, 14, 18

• 3, 9, 13, 17, 21

How do you find the nth term of an arithmetic sequence?

• nth term = first term + (n-1) * common difference

• nth term = first term + (n+1) * common difference

• nth term = first term * common difference

• nth term = (first term + last term) / 2