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

Tags

CCSS.HSF.BF.A.2

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

• b(2)

• b(4)

• b(1)

• b(3)

Tags

CCSS.HSF.IF.A.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

Tags

CCSS.HSF.IF.A.3

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

Tags

CCSS.HSF.BF.A.2

What operation is repeatedly used in the recursive formula?

• Division

• Multiplication

• Subtraction

• Addition

Tags

CCSS.HSF.IF.A.3

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

• 29

• 17

• 12

• 5

Tags

CCSS.HSF.IF.A.3

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)

Tags

CCSS.HSF.IF.A.3

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

• 5

• 29

• 17

• 12

Tags

CCSS.HSF.BF.A.2

What is the purpose of backtracking in this recursive sequence?

• To divide terms

• To multiply terms

• To skip terms

• To find previous terms

Tags

CCSS.HSF.BF.A.2

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

• 29

• 17

• 12

• 5

Tags

CCSS.HSF.BF.A.2