Recursive Sequences and Their Terms

The video tutorial explains how to create a table of values and plot them for a recursive function defined as X(n) = X(n-1) + 6, with the first term X(1) = 0. The instructor demonstrates calculating the first five terms of the sequence, creating a table of values, and plotting these values to visualize the sequence's progression.

What is the initial term (X of 1) in the given recursive sequence?

• 0

• 12

• 1

• 6

How is the nth term of the sequence defined in the recursive function?

• X of n = X of n-1 / 6

• X of n = X of n-1 + 6

• X of n = X of n-1 * 6

• X of n = X of n-1 - 6

What is the value of X of 2 in the sequence?

• 6

• 0

• 18

• 12

What is the value of X of 4 in the sequence?

• 12

• 18

• 24

• 30

Which of the following coordinates represents the third term in the sequence?

• (3, 12)

• (2, 6)

• (4, 18)

• (1, 0)

What is the value of X of 5 in the sequence?

• 18

• 36

• 30

• 24