revisit exponential function and geometric sequences

is the sequence 2, 4, 8,16,,,, a geometric sequence?

Select the TRUE statements about the functions

 $f\left(x\right)\ =\ 2x-4$  
 $g\left(x\right)\ =\ 2^x\ -\ 4$  
 $h\left(x\right)=\left(\frac{1}{2}\right)^x\ -\ 4$  
 $k\left(x\right)\ =\ \frac{1}{2}x-4$  

•  $f\left(x\right)$  and  $k\left(x\right)$  are linear.

•  $g\left(x\right)$  is exponential growth. 

•  $h\left(x\right)$  is exponential decay.

•  $f\left(x\right)\ and\ g\left(x\right)$  are both exponential growth. 

•  $h\left(x\right)\ and\ k\left(x\right)$  are both exponential decay.

Suppose you deposit $1000 in a college fund that pays 7.2% interest compounded annually. Find the account balance after 5 years.

Write an equation that models the following situation:

The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.

• y= 6500(1+.14)^x

• y= 6500(1-.14)^x

• y= 6500(14)^x

• y= 14(6500)^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4
• 3
• 2
• 6

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

What is the 14th term of the geometric sequence?

• 14,348,907
• 4,782,969
• 1,594,323
• 45

Find the common ratio for the geometric sequence.

• 1
• -1
• 7
• -7

What is the X-INTERCEPT of the exponential function?

• (0,1)

• (0,0)

• There is not one.