Exploring Arithmetic and Geometric Sequences

What is the first step in identifying the pattern in a number sequence?

• Check if the numbers are prime

• See what the difference between the terms is

• Count the number of terms

• Check if the numbers are even

What is the common difference in the sequence 4, 7, 10, 13, 16?

• 3

• 5

• 2

• 4

What do we call sequences where a certain amount is added or subtracted each time?

• Fibonacci sequences

• Harmonic sequences

• Geometric sequences

• Arithmetic sequences

In an arithmetic sequence, what is the term used to describe the amount by which the sequence changes?

• Common term

• Common ratio

• Common difference

• Common factor

What is the common ratio in the geometric sequence 3, 6, 12, 24?

• 6

• 2

• 3

• 4

How can you verify the common ratio in a geometric sequence?

• Multiply the first term by the second term

• Divide any term by its previous term

• Add the first term to the second term

• Subtract the first term from the second term

What is the common ratio in the sequence 27, 9, 3, 1?

• 1/2

• 1/3

• 1/4

• 1/5

If a sequence is being divided by 3 each time, what is the common ratio?

• 3

• 1/3

• 2

• 1/2

What are the two main types of sequences discussed in the video?

• Arithmetic and Geometric

• Geometric and Harmonic

• Fibonacci and Geometric

• Arithmetic and Harmonic

In a geometric sequence, what term is used to describe the factor by which the sequence changes?

• Common term

• Common difference

• Common ratio

• Common factor