Exponential Equations and Geometric Sequences

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

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

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

• Growth

• Decay

• Linear

• None

Is the equation linear, exponential or neither?

• Linear

• Exponential

• Neither

Is this exponential growth or decay?

• Growth

• Decay

Is this exponential growth or decay?

• Growth

• Decay

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.

• 1

• -1

• 7

• -7

Write the explicit formula for the geometric sequence.

• a_n = 7(1)ⁿ

• a_n = 7(-1)ⁿ

• a_n = 7(-1)^n-1

• a_n = -1(7)^n-1