Alg 2AA: Tri 1 Exam Review (Day 1)

The recursive definition is given:

 $f\left(1\right)=2,\ f\left(n\right)=3\cdot f\left(n-1\right),\ n\ge2$  
What does the  $f\left(1\right)\ =\ 2$ represent in terms of the sequence? 

• The growth factor of the sequence.

• The rate of change of the sequence.

• The value of the first term of the sequence.

• The value of the second term of the sequence.

The recursive definition is given:

 $f\left(1\right)=4,\ f\left(n\right)=3\left(n-1\right),\ n\ge2$  
What does the 3 represent in the recursive definition? 

• The growth factor of the sequence.

• The rate of change of the sequence.

• The value of the first term of the sequence.

• The value of the second term of the sequence.

The recursive definition is given:

 $f\left(1\right)=5,\ f\left(n\right)=f\left(n-1\right)-6,\ n\ge2$  
What does the -6 represent in the recursive definition? 

• The growth factor of the sequence.

• The rate of change of the sequence.

• The value of the first term of the sequence.

• The value of the second term of the sequence.

Which formula defines the sequence: -14, -4, 6, 16

• $f\left(1\right)=-14,\ f\left(n\right)=\ f\left(n-1\right)+10,\ \ n\ge2$

• $f\left(1\right)\ =\ -14,\ \ f\left(n\right)=f\left(n-1\right)\ +\ 8,\ \ n\ge2$

• $f\left(1\right)=-7,\ \ f\left(n\right)=\ f\left(n-1\right)\ +\ 10,\ n\ge2$

• $f\left(1\right)\ =\ -15,\ f\left(n\right)=f\left(n-1\right)\ +8,\ n\ge2$

Which formula defines the sequence: 

  2, -6, 18, -54

•  $f\left(1\right)=3,\ f\left(n\right)=\ 2\cdot f\left(n-1\right),\ \ n\ge2$ 

•  $f\left(1\right)\ =\ 2,\ \ f\left(n\right)=-3\cdot f\left(n-1\right)\ ,\ \ n\ge2$ 

•  $f\left(1\right)=2,\ \ f\left(n\right)=\ -8\cdot f\left(n-1\right),\ n\ge2$ 

•  $f\left(1\right)\ =\ 3\ f\left(n\right)=-3\cdot f\left(n-1\right),\ n\ge2$ 

Which formula defines the sequence: 

 $f\left(1\right)=-2,\ f\left(2\right)=-12,\ f\left(3\right)=-72$  

•  $f\left(1\right)=-12,\ f\left(n\right)=\ 6\cdot f\left(n-1\right),\ \ n\ge2$ 

•  $f\left(1\right)\ =\ -2,\ \ f\left(n\right)=f\left(n-1\right)\ +\ 6\ ,\ \ n\ge2$ 

•  $f\left(1\right)=-2,\ \ f\left(n\right)=\ 6\cdot f\left(n-1\right),\ n\ge2$ 

•  $f\left(1\right)\ =\ -2,\ f\left(n\right)=f\left(n-1\right)+\ 10,\ n\ge2$ 

Which formula defines the sequence: 

 $f\left(1\right)=12,\ f\left(2\right)=6,\ \ f\left(3\right)=0,\ f\left(4\right)=-6$  

•  $f\left(1\right)=13,\ f\left(n\right)=\ f\left(n-1\right)-5,\ \ n\ge2$ 

•  $f\left(1\right)\ =\ 12,\ \ f\left(n\right)=f\left(n-1\right)\ -\ 4\ ,\ \ n\ge2$ 

•  $f\left(1\right)=12,\ \ f\left(n\right)=\ f\left(n-1\right)\ -\ 5,\ n\ge2$ 

•  $f\left(1\right)\ =\ 12,\ f\left(n\right)=f\left(n-1\right)-6\ ,\ n\ge2$ 

Write the recursive definition for the sequence 2, 10, 50, 250

A sequence is defined by
 $f\left(1\right)=4,\ f\left(n\right)=2\cdot f\left(n-1\right),\ n\ge2$  

Which of the following sequence of numbers follows this definition?

• 2, 4, 8, 16

• 4, 8, 16, 32

• 4, 6, 8, 10

• 1, 2, 4, 8

A sequence is defined by
 $f\left(1\right)=-38,\ f\left(n\right)=f\left(n-1\right)-7,\ n\ge2$  

Which of the following sequence of numbers follows this definition?

• -45, -52, -59, -66, -73

• -38, -31, -24, -17, -10

• -38, -45, -52, -59, -66

• -38, -44, -50, -56, -62