Analyzing Sequences and Equations

The video tutorial explains how to find the value of B in a recursive formula of the form FX = FX - 1 + mx + b for a given geometric sequence. It starts by identifying the sequence type and calculating the first and second differences to determine the value of M. Then, it demonstrates how to plug values into the formula to solve for B, concluding with the final answer that B equals -1.

What is the general form of the recursive formula discussed in the video?

• FX = FX + 1 + mx - b

• FX = FX + mx - b

• FX = FX - 1 + mx + b

• FX = FX - 1 - mx + b

What type of sequence is being analyzed in the video?

• Harmonic sequence

• Fibonacci sequence

• Geometric sequence

• Arithmetic sequence

How is the first difference between the numbers 1 and 4 calculated?

• By dividing by 4

• By adding 3

• By multiplying by 3

• By subtracting 1 from 4

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

• 1

• 2

• 4

• 3

What is the value of M determined from the second differences?

• 1

• 2

• 3

• 4

Which value is chosen to substitute into the equation to solve for B?

• 16

• 1

• 4

• 9

What is the fourth value in the sequence?

• 9

• 4

• 1

• 16

What is the simplified form of the equation before solving for B?

• 16 = 9 + 2 * 4 + B

• 16 = 9 + 2 * 3 + B

• 16 = 9 + 2 * 5 + B

• 16 = 9 + 2 * 6 + B

What operation is performed to isolate B in the equation?

• Division

• Addition

• Subtraction

• Multiplication

What is the final value of B?

• 2

• 1

• -1

• 0