Exploring Arithmetic and Geometric Sequences

What is an arithmetic sequence?

• A sequence where each term is subtracted by a constant.

• A sequence where each term is multiplied by a constant.

• A sequence where each term is added by a constant.

• A sequence where each term is divided by a constant.

In an arithmetic sequence, what is the common difference?

• The ratio of two consecutive terms.

• The sum of two consecutive terms.

• The product of two consecutive terms.

• The difference between two consecutive terms.

Given the sequence 3, 5, 7, 9, what is the common difference?

• 5

• 2

• 4

• 3

How do you find the common difference in an arithmetic sequence?

• Multiply the first term by the second term.

• Divide the second term by the first term.

• Subtract the first term from the second term.

• Add the first term to the second term.

What is a geometric sequence?

• A sequence where each term is multiplied by a constant.

• A sequence where each term is subtracted by a constant.

• A sequence where each term is divided by a constant.

• A sequence where each term is added by a constant.

In a geometric sequence, what is the common ratio?

• The quotient of two consecutive terms.

• The difference between two consecutive terms.

• The product of two consecutive terms.

• The sum of two consecutive terms.

Given the sequence 2, 6, 18, 54, what is the common ratio?

• 2

• 3

• 4

• 5

How do you find the common ratio in a geometric sequence?

• Add the first term to the second term.

• Multiply the first term by the second term.

• Divide the second term by the first term.

• Subtract the first term from the second term.

In the sequence 8, 4, 2, 1, what is the common ratio?

• 2

• 3

• 1/3

• 1/2

What will the next videos focus on?

• Identifying geometric sequences only.

• Identifying arithmetic sequences only.

• Identifying neither arithmetic nor geometric sequences.

• Identifying arithmetic, geometric, or neither sequences.