Understanding Recursive Sequences

The video tutorial explains how to find the fourth term in a sequence using a recursive formula. Starting with the initial condition b(1) = -7, the formula b(n) = b(n-1) + 12 is applied to calculate b(2), b(3), and finally b(4). The process involves recursive calculations, working backwards from b(4) to b(1), and results in b(4) being equal to 29.

What is the initial value of b(1) in the sequence?

• -7

• 0

• 7

• 12

Which term in the sequence is directly given in the problem?

• b(2)

• b(4)

• b(1)

• b(3)

What is the recursive formula used to find b(n)?

• b(n) = b(n-1) * 12

• b(n) = b(n-1) + 12

• b(n) = b(n-1) - 12

• b(n) = b(n-1) / 12

How do you express b(4) using the recursive formula?

• b(4) = b(3) + 12

• b(4) = b(1) + 12

• b(4) = b(2) + 12

• b(4) = b(0) + 12

What operation is repeatedly used in the recursive formula?

• Division

• Multiplication

• Subtraction

• Addition

What is the value of b(2) after applying the recursive formula?

• 29

• 17

• 12

• 5

What is the next step after finding b(2) in the recursive process?

• Find b(4)

• Find b(3)

• Find b(1)

• Find b(5)

What is the value of b(3) after applying the recursive formula?

• 5

• 29

• 17

• 12

What is the purpose of backtracking in this recursive sequence?

• To divide terms

• To multiply terms

• To skip terms

• To find previous terms

What is the final value of b(4) in the sequence?

• 29

• 17

• 12

• 5