Numeric Patterns and Rules

The video tutorial explains how to determine the rule of a numeric pattern by identifying the constant difference between terms. It demonstrates how to formulate a general term rule and apply it to find specific terms in a sequence. The tutorial includes examples to illustrate the process of deriving and testing the rule, as well as using it to calculate terms and identify which term corresponds to a given value.

What is a numeric pattern characterized by?

• A constant sum

• A constant difference

• A constant product

• A constant quotient

In the pattern 9, 14, 19, 24, what is the constant difference?

• 3

• 4

• 5

• 6

How do you determine the first part of the rule for a numeric pattern?

• By using the first term

• By using the sum of terms

• By using the constant difference

• By using the last term

What is the rule for the pattern 9, 14, 19, 24?

• tn = 4n + 5

• tn = 5n + 4

• tn = 6n + 3

• tn = 7n + 2

How do you verify the rule for a numeric pattern?

• By checking the first term

• By checking the last term

• By adding all terms

• By substituting a term number into the rule

What is the value of the 4th term in the pattern 9, 14, 19, 24 using the rule tn = 5n + 4?

• 19

• 20

• 24

• 29

Using the rule tn = 5n + 4, what is the 51st term?

• 269

• 264

• 254

• 259

What is the constant difference in the pattern 4, 7, 10?

• 5

• 4

• 3

• 2

What is the rule for the pattern 4, 7, 10?

• tn = 5n - 1

• tn = 4n + 0

• tn = 3n + 1

• tn = 2n + 2

Using the rule tn = 3n + 1, what is the 100th term?

• 302

• 299

• 300

• 301