Geometric Sequences and Exponential Functions

Consider the geometric sequence 6, 24, 96, 384, …. Choose True or False for each statement. The recursive rule is f (1) = 4; f (n) = f (n-1) · 6.

• True

• False

A laser beam with an output of 6 milliwatts is focused at a series of mirrors. The laser

beam loses 2% of its power every time it reflects off of a mirror. The power p (n) is an

exponential function of the number of reflections in the form of p (n) = ab n . Write the

equation p (n) for this laser beam. Determined the values of a and b. Copy and replace the letter with the right number or letter. LEAVE the spacing it will mark it wrong and it will stay WRONG.

p (n) = a (b) ^ x

What is the common ratio for the sequence?
1, 3, 9, 27, ...

• -3

• -⅓

• ⅓

• 3

What would the tenth term in the sequence be?
⅓, 1, 3, 9, ...

• 729

• 2187

• 6561

• 19683

What is
f(x)= (8)^x
evaluated for x = 0

• -8

• 0

• 1

• 8

What is the common ratio for the sequence?
4, 2, 1, ½, ¼, ...

• -2

• -½

• ½

• 2

A ball is dropped from a height of 18feet. The function f(x)=18(0.5)^x gives the height in feet of each bounce, where x is the bounce number. What will be the height of the third bounce to the nearest tenth of a foot?

• 4.5 ft

• 2.3 ft

• 1.1 ft

• 0.6 ft

Describe the Function shown

• Constant

• Increasing

• Decreasing

The equation 
y = 4(⅓)^x
is an example of an exponential function

• True

• False

• I have no idea

• what is an exponential function???

Pick the equation that represents an exponential function.

• f(x) = 3x + 2

• f(x) = 3x²

• f(x) = 3(2)^x

• f(x) = x³+ 2