Arithmetic and Geometric Sequences

The video tutorial covers sequences, including arithmetic and geometric sequences, and explains how to define and calculate the nth term. It also discusses graphing geometric sequences, finding terms in arithmetic sequences, and the concept of folding paper to understand domain limitations. Additionally, it describes a growing pattern with dots and calculates the weight of an envelope as paperclips are added.

What is the initial term in the sequence defined by F(0)?

• 2

• 3

• 1

• 4

How is each subsequent term in the sequence defined by F(0) calculated?

• Divide the previous term by 2

• Multiply the previous term by 2

• Add 3 to the previous term

• Subtract 1 from the previous term

What is the first term of the geometric sequence defined recursively?

• 40

• 30

• 10

• 20

What is the growth factor in the recursive geometric sequence?

• 5

• 4

• 3

• 2

What is the starting value of the geometric sequence that needs to be graphed?

• 100

• 200

• 500

• 300

What is the growth factor for the geometric sequence that starts at 500?

• 4

• 5

• 6

• 7

How many terms are graphed in the geometric sequence starting at 500?

• 5

• 4

• 6

• 3

What is the first term of the arithmetic sequence?

• 2

• 4

• 6

• 8

What is the common difference in the arithmetic sequence?

• 12

• 10

• 14

• 16

How many times do you add the common difference to find the 15th term?

• 14

• 12

• 15

• 13