Recursive Sequences and Operations

The video tutorial explains how to model a geometric sequence using a recursive rule. It begins by identifying the pattern in the sequence, which involves multiplying by 2 to progress from one term to the next. The tutorial then demonstrates how to set up a recursive rule using the formula G(n) = 2 * G(n-1), where G(n) represents the current term and G(n-1) the previous term. The video concludes by applying this rule to calculate specific terms in the sequence.

What is the main operation used to move from one term to the next in the sequence 5, 10, 20, 40?

• Addition

• Subtraction

• Multiplication

• Division

In the recursive rule for the sequence, what does g(n-1) represent?

• The next term in the sequence

• The previous term in the sequence

• The sum of all previous terms

• The first term in the sequence

How do you express the recursive rule for the sequence using g(n) and g(n-1)?

• g(n) = g(n-1) + 2

• g(n) = g(n-1) / 2

• g(n) = g(n-1) * 2

• g(n) = g(n-1) - 2

If the previous term in the sequence is 5, what is the next term?

• 15

• 20

• 10

• 7

What is the value of g(n) if g(n-1) is 20 in the sequence?

• 50

• 40

• 30

• 20