Understanding Sequences and Function Rules

The video tutorial explains how to determine the first five terms of a sequence using a recursive function. Starting with f(0) = 7, each subsequent term is calculated by adding 6 to the previous term. The tutorial demonstrates the calculations for f(1) through f(4), resulting in the sequence: 7, 13, 19, 25, 31. The common difference of 6 is highlighted, and the process is explained in detail to aid understanding.

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

• 6

• 8

• 5

• 7

How is the first term of the sequence calculated?

• By adding 6 to the initial value

• By multiplying the initial value by 2

• By subtracting 6 from the initial value

• By adding 5 to the initial value

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

• 13

• 14

• 15

• 12

What is the function rule used to determine the terms of the sequence?

• f(n) = f(n-1) - 6

• f(n) = f(n-1) + 6

• f(n) = f(n-1) * 6

• f(n) = f(n-1) / 6

What is the third term of the sequence?

• 20

• 21

• 19

• 18

How is the fourth term calculated from the third term?

• By adding 6 to the third term

• By subtracting 6 from the third term

• By adding 5 to the third term

• By multiplying the third term by 2

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

• 31

• 24

• 25

• 30

What is the common difference in the sequence?

• 7

• 8

• 6

• 5

List the first five terms of the sequence as mentioned in the video.

• 7, 13, 19, 25, 31

• 5, 11, 17, 23, 29

• 6, 12, 18, 24, 30

• 8, 14, 20, 26, 32