Geometric Sequences and Common Ratios

Teacher MJ introduces geometric sequences, focusing on finding missing terms by determining the common ratio. The video covers examples with consecutive and non-consecutive terms, fractional and negative common ratios, and algebraic expressions. Students are encouraged to practice and share their answers in the comments.

What is the first step in solving a geometric sequence problem?

• Subtract the last term from the first

• Add all terms

• Multiply all terms

• Find the common ratio

How do you find the common ratio in a sequence with consecutive terms?

• Divide the second term by the first term

• Multiply the first term by the last term

• Add the first and second terms

• Subtract the first term from the second term

If the second term is 12 and the first term is 3, what is the common ratio?

• 6

• 3

• 4

• 5

In a sequence where the third term is 48 and the second term is 12, what is the common ratio?

• 5

• 4

• 3

• 2

What operation is primarily used in geometric sequences?

• Exponentiation

• Addition

• Subtraction

• Multiplication

How do you solve a sequence with non-consecutive terms?

• Subtract the first term from the last

• Find the average of all terms

• Use the common ratio to fill in missing terms

• Multiply all terms together

What is the common ratio if 64 divided by 32 equals?

• 3

• 2

• 4

• 1

If the common ratio is 2, what is the missing term between 8 and 32?

• 28

• 24

• 16

• 12

How do you handle fractions in geometric sequences?

• Ignore them

• Use the greatest common factor to simplify

• Convert them to decimals

• Multiply them by 10

What is the common ratio if 60 divided by 120 is simplified?

• 1/2

• 1/3

• 1/4

• 1/5