Geometric Sequences and Exponential Functions

Describe the Function shown

• Constant

• Increasing

• Decreasing

State the a term in the exponential equation.
y = 7(3)^x+1- 4

• 1

• 3

• 4

• 7

Describe the end behavior of the given graph as x → - ∞, y → ?

• -∞

• 0

• ∞

5, 15, 45, 135 is a ...

• Geometric sequence with r = 3

• Geometric sequence with r = 1/3

• Arithmetic sequence with d = 10

• Arithmetic sequence with d = 3

Write the explicit formula for the geometric sequence.

What is the common ratio of this sequence?
{2, 10, 50, 250, ... }

• 1,250

• 5

• 10

• 50

Is this the graph of an arithmetic or a geometric sequence?

• Arithmetic

• Geometric

What is the first term for the sequence: 16, 8, 4, 2, ...

• a₁= 8

• a₁= 2

• a₁= 32

• a₁= 16

y = 4(1+.04)^x

• Linear

• Exponential

• Neither

• All of the above

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