Quiz 5 Unit 12-1, 12-2, 13-1

Determine weather the sequence is Arithmetic, Geometric or neither.

 $\frac{5}{4},\ \frac{7}{4},\frac{9}{4},\ \frac{11}{4},\ ...$  

• Geometric

• Arithmetic 

• Neither

Write an explicit rule for the geometric sequence.

 $\frac{4}{3},\ 2,\ 3,\ \frac{9}{2},\ ...$  

•  $f\left(n\right)=\frac{4}{3}\left(\frac{3}{2}\right)^n\ ,\ n\ge1$  

•  $f\left(n\right)=\frac{4}{3}\left(\frac{3}{2}\right)^{n-1}\ \ ,\ n\ge1$  

•  $f\left(n\right)=\frac{3}{2}\left(\frac{4}{3}\right)^{n-1},\ \ n\ge1$  

•  $f\left(n\right)=\frac{3}{2}\left(2\right)^{n-1}\ \ ,\ n\ge1$  

The first, second and third terms of an arithmetic sequence are listed below. Find the 50th term.

 $-11,\ -7,\ -3$  

•  $210$  

•  $-189$  

•  $189$  

•  $185$  

Which of the following functions is NOT an exponential function.

•  $f\left(x\right)=3\left(5\right)^{2x}$  

•  $f\left(x\right)=3e^{\left(-3x+1\right)}$  

•  $f\left(x\right)=5\left(\frac{x}{2}\right)^3+1$  

•  $f\left(x\right)=9\left(\frac{1}{2}\right)^{-x}$  

In 1985, there were 180 cell phone subscribes in Oakland California. Subscribers increased by 35% each year after 1985. Approximately how many cell phone subscribers were there in 1995?

• $4592$

• $3620$

• $2680$

• $12084$

What is the range of the exponential function?

 $f\left(x\right)=-3\left(10\right)^{\left(2x-1\right)}+2$  

•  $y\ge2$  

•  $y\le2$  

•  $y>-3$  

•  $y<2$  

Evaluate the function for the given x value.

 $f\left(x\right)=27\left(3\right)^{x-1},\ \ \ \ x=-3$  

•  $3$  

•  $-\frac{1}{3}$  

•  $\frac{1}{9}$  

•  $\frac{1}{3}$  

Write a recursive rule for the geometric sequence

 $81,\ 27,\ 9,\ ...$  

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

•  $f\left(n\right)=81\left(f\left(n+1\right)\right)$  
  

•  $f\left(n\right)=\frac{1}{3}\left(f\left(n-1\right)\right)$  
  

•  $f\left(n\right)=81\left(\frac{1}{3}\right)^{n-1}$