Recursive Sequences and Their Terms

The video tutorial explains a recursive sequence where each term is the product of the two preceding terms. Starting with initial terms a_0 = 2 and a_1 = 3, the video demonstrates how to calculate subsequent terms a_2, a_3, and a_4. The process involves multiplying the previous two terms to find the next term, resulting in a_4 being equal to 108.

What is the general formula for the nth term in the given recursive sequence?

• a_n = a_(n-1) + a_(n-2)

• a_n = a_(n-1) / a_(n-2)

• a_n = a_(n-1) * a_(n-2)

• a_n = a_(n-1) - a_(n-2)

What are the initial values given for a_0 and a_1 in the sequence?

• a_0 = 2, a_1 = 3

• a_0 = 1, a_1 = 2

• a_0 = 0, a_1 = 1

• a_0 = 3, a_1 = 4

How is a_2 calculated in the sequence?

• a_2 = a_1 - a_0

• a_2 = a_1 * a_0

• a_2 = a_1 / a_0

• a_2 = a_1 + a_0

What is the value of a_2 in the sequence?

• 5

• 4

• 6

• 7

How is a_3 calculated in the sequence?

• a_3 = a_2 / a_1

• a_3 = a_2 + a_1

• a_3 = a_2 * a_1

• a_3 = a_2 - a_1

What is the value of a_3 in the sequence?

• 18

• 17

• 16

• 15

How is a_4 calculated in the sequence?

• a_4 = a_3 * a_2

• a_4 = a_3 + a_2

• a_4 = a_3 - a_2

• a_4 = a_3 / a_2

What is the value of a_4 in the sequence?

• 100

• 124

• 116

• 108

Which term in the sequence is calculated as 18 times 6?

• a_4

• a_5

• a_3

• a_2

What is the product of the previous two terms used to calculate a_4?

• a_2 and a_1

• a_3 and a_2

• a_4 and a_3

• a_1 and a_0