Applying and analysing functions

The recursive equation for the function is:

• f(0) = 5

  f(x) = f(x - 1) * 3

• f(0) = 5

  f(x) = f(x - 1) + 3

• f(-1) = 2

  f(x) = f(x - 1) + 5

• f(1) = 8

  f(x) = f(x - 1) + 5

What is the recursive rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11x 2
• a_n = 11(2)^n-1
• a_n = a_n-1 * 2

  a₁ = 11

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

 $f\left(n\right)=300-5n$  
Which recursive equation below would describe the same set of values as the explicit equation above?

•  $f\left(0\right)=300\ ;\ f\left(n\right)=f\left(n-1\right)-5$  

•   $f\left(0\right)=-5\ ;\ f\left(n\right)\ =f\left(n-1\right)+300$  

•  $f\left(1\right)=300\ ;\ f\left(n\right)\ =f\left(n-1\right)-5$  

•  $f\left(1\right)=-5\ ;\ f\left(n\right)=f\left(n-1\right)+300$  

Which equation describes the sequence in recursive form?

11, 8, 5, 2, . . .

Write a recursive formula for the sequence 3, 6, 12, 24, 48...

• x1 = 3; 2(xi−1)

• x1 = 3; 3(xi−1).

• x1 = 2; xi−1 + 2.

• x1 = 3; xi−1 + 4.

Write the recursive equation for the sequence 10, 20, 40, 80...

• 
• 
• 
• 

 $f\left(n\right)=-2^n$  

 $f\left(3\right)\ =\ ?$  

• -8

• 8

• 6

• -6

What is the recursive form given the sequence:

5, -10, 20, -40

• a_n+1 = a_{n *} -2

• a_n+1 = a_n - 2

• a_n+1 = a_n + 2

• a_n+1 = a_n * 2

Which of the following sequences has the recursive rule f_n = f_n-1 + f_n-2

• {8,12,16,20,24, …}

• {-15,-19,-23,-27,-31, …}

• {-3,-12,-48,-192,-768, …}

• {1, 2, 3, 5, 8, …}