Geometric Sequence and Exponential Growth and Decay

Find the common ratio for the geometric sequence.

• -4
• 4
• 1/4
• -1/4

What is the 14th term of the geometric sequence?

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

What is the common ratio for the sequence:
3, 15, 75...

• 12
• 1/5
• 5/1
• 4/5

What is the 11th term of the geometric sequence?

• -5120
• 97,656,250
• 19,531,250
• -19,531,250

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵
• 70(2)⁵
• 2(70)⁵
• 5(70)²

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Is the equation exponential growth or decay? $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$  

• Growth because the 25 is bigger than one

• Growth  because the 0.20 is less than one

• Decay because because the 25 is bigger than one

• Decay because the 0.20 is less than one

This is an example of:

• Linear Growth because the x values increase from left to right

• Linear Decay because the x values decrease from left to right

• Exponential Growth because the y values increase from left to right

• Exponential Decay because the y values decrease from left to right

 $\frac{1}{125\ }\ =\ 5^x$  What is x?

• 3

• -3

• 5

• -5

 $f\left(x\right)\ =\ e^{.031}$  Select the correct description for the function.

• The function represents growth because e >1

• The function represents decay because e > 1

• The function represents growth because .031  > 0

• The function represents decay because .031  > 0