Understanding Geometric Sequences

The video tutorial explains how to determine the first five terms of a sequence defined by f(0) = 5 and f(n) = f(n-1) * -3. It walks through the calculations for each term, demonstrating the use of the function rule. The sequence is identified as geometric with a common ratio of -3. The tutorial emphasizes the pattern of multiplication by -3 and provides a clear understanding of the sequence's behavior.

What is the initial term of the sequence given in the video?

• 0

• 15

• 10

• 5

How is the first term calculated using the function rule?

• By dividing the previous term by 3

• By subtracting 3 from the previous term

• By multiplying the previous term by -3

• By adding 3 to the previous term

What is the value of the second term in the sequence?

• -15

• 15

• 45

• -45

What is the third term in the sequence?

• -45

• 135

• -135

• 45

How is the fourth term calculated?

• By multiplying the previous term by -3

• By adding 45 to the previous term

• By subtracting 45 from the previous term

• By dividing the previous term by 3

What is the value of the fifth term in the sequence?

• 45

• -45

• -135

• 135

What type of sequence is described in the video?

• Fibonacci sequence

• Geometric sequence

• Arithmetic sequence

• Harmonic sequence

What is the common ratio of the sequence?

• 5

• 3

• -5

• -3

How can the common ratio be determined from the sequence?

• By adding the first two terms

• By dividing any term by the previous term

• By subtracting the first term from the second term

• By multiplying the first term by the second term

What is the pattern used to generate the sequence?

• Adding a constant value

• Multiplying by a constant value

• Dividing by a constant value

• Subtracting a constant value