Geometric Sequences Growth and Decay Exponential

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither

Find the common ratio for the geometric sequence.

• 10

• 1/2

• 2

• 4

Find the common ratio for the geometric sequence.

• -4

• 4

• 1/4

• -1/4

The next term of the sequence 2,4,8,16 are

• 64

• 32

• 108

• 20

What is b, the common ratio, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5

• -.05

• .95

• .05

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

• ^.08

• ^1.08

• .92

• 8

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay