Identifying Patterns in Sequences

This video tutorial introduces the concept of identifying and extending patterns in sequences. It covers arithmetic sequences, where terms change by a consistent amount, and non-arithmetic sequences, which may involve multiplication or division. The tutorial provides examples and encourages viewers to practice identifying patterns independently. It concludes with a call to download additional resources for further practice.

What is the main focus of this lesson?

• Solving complex equations

• Understanding geometric shapes

• Identifying and extending patterns in sequences

• Learning basic arithmetic operations

In the savings example, how much money is saved each month?

• $10

• $20

• $40

• $30

What is an arithmetic sequence?

• A sequence with no discernible pattern

• A sequence where each term changes by the same amount

• A sequence where each term is the sum of the previous two terms

• A sequence where each term is a multiple of the previous term

How do you identify a pattern in a sequence?

• By dividing the first term by the last term

• By looking for a relationship between consecutive terms

• By adding all the terms together

• By guessing the next term

In the subtraction pattern example, what is the pattern?

• Add 8

• Multiply by 8

• Divide by 8

• Subtract 8

What are the next three terms in the sequence: 22, 14, 6?

• 12, 4, -4

• 0, -8, -16

• 4, 2, 0

• -2, -10, -18

In the addition pattern example, what is the pattern?

• Add 10

• Add 16

• Add 12

• Add 14

What are the next three terms in the sequence: 54, 70, 86?

• 100, 116, 132

• 102, 120, 138

• 104, 120, 136

• 102, 118, 134

What distinguishes non-arithmetic sequences?

• They have no pattern

• They have consistent differences between terms

• They involve multiplication or division

• They are always increasing

In the complex pattern example, what operations are used?

• Addition and multiplication

• Addition and subtraction

• Subtraction and division

• Multiplication and division