Linear Functions and Sequences

The video tutorial explains how to derive a linear function from a recursive rule. It starts with a given starting value and demonstrates how to calculate subsequent values in the sequence. The tutorial then shows how to identify the slope and y-intercept to form the linear equation y = 2x + 4.

What is the starting value given in the recursive rule?

• 2

• 8

• 6

• 4

How is the first term in the sequence calculated?

• By adding 4 to the previous term

• By subtracting 2 from the previous term

• By adding 2 to the starting value

• By multiplying the starting value by 2

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

• 6

• 10

• 4

• 8

What is the recursive rule used to find the next term in the sequence?

• Subtract 2 from the previous term

• Add 4 to the previous term

• Add 2 to the previous term

• Multiply the previous term by 2

What form does a linear function follow?

• Y = X + B

• Y = MX

• Y = B

• Y = MX + B

What is the slope of the linear function derived from the sequence?

• 3

• 4

• 1

• 2

How does the slope relate to the recursive rule?

• It is the starting value

• It is the product of terms

• It is the difference between terms

• It is the amount added each time

What is the y-intercept of the linear function?

• 4

• 6

• 2

• 8

What is the final linear equation derived from the sequence?

• y = 2x + 2

• y = 2x + 4

• y = 4x + 4

• y = 4x + 2

What does the y-intercept represent in the context of this problem?

• The starting value

• The difference between terms

• The product of terms

• The slope