Arithmetic and Geometric Sequences

This lesson covers Chapter 8, Lesson 2 on function rules, focusing on identifying arithmetic and geometric sequences. It explains how to find function rules to determine any term in a sequence. The lesson includes examples of arithmetic sequences using addition and geometric sequences using multiplication. It also demonstrates how to use tables to find function rules and calculate specific terms in a sequence.

What is the primary purpose of finding a function rule in sequences?

• To identify the first term

• To find any term in the sequence

• To calculate the sum of terms

• To determine the sequence type

In an arithmetic sequence, what operation is typically used to find the next term?

• Subtraction

• Addition

• Division

• Multiplication

What is the rule for the arithmetic sequence: 7, 14, 21, 28?

• Subtract 3

• Multiply by 2

• Add 7

• Add 5

What are the next three terms in the sequence: 7, 14, 21, 28?

• 32, 39, 46

• 35, 42, 49

• 30, 37, 44

• 29, 36, 43

In a geometric sequence, what operation is typically used to find the next term?

• Division

• Multiplication

• Subtraction

• Addition

What is the rule for the geometric sequence: 2, 4, 8, 16?

• Multiply by 2

• Add 2

• Multiply by 3

• Subtract 1

What are the next three terms in the sequence: 2, 4, 8, 16?

• 30, 60, 120

• 24, 48, 96

• 32, 64, 128

• 18, 20, 22

How do arithmetic and geometric sequences differ in terms of operations?

• Arithmetic uses addition or subtraction, geometric uses multiplication or division

• Arithmetic uses multiplication, geometric uses addition

• Both use only addition

• Both use only multiplication

What is the rule for the arithmetic sequence: 0, 15, 30, 45?

• Add 10

• Subtract 5

• Add 15

• Multiply by 3

What are the next three terms in the sequence: 0, 15, 30, 45?

• 50, 65, 80

• 60, 75, 90

• 55, 70, 85

• 45, 60, 75