Geometric Sequences and Exponential Growth and Decay

Is this exponential growth or decay?

• Growth

• Decay

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Pick the equation that is exponential growth

• y=2(0.5)^x

• y = 0.5(2)^x

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

Which of the followings functions shows an initial amout of $15 and an increase of 35% ?

• y=15(35)^x

• y=15(1.35)^x

• y=15(0.35)^x

• y=35(15)^x

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

• 1/2 (or 0.5)

• - 1/2 (or -0.5)

• -14

• -7

Is the sequence-4, -12, -36, -108,... arithmetic geometric, or neither?

• arithmetic

• geometric

• neither

Is this exponential growth or decay?
y = 7(1.2)^x

• Growth, because of 7

• Decay, because of 1.2

• Growth because of 1.2

• Decay because of 7

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^x

Find the common ratio: 4, -16, 64, -256, ...

• r = -4

• r = 2

• r = -2

• r = 4