Sequences and Exponential Functions

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
 -14, -11, -8, -5, ... 

• Arithmetic
  Common Difference: 3
• Arithmetic
  Common Difference: -3
• Geometric
  Common Ratio: 4
• Geometric 
  Common Ratio: 3

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
97, 86, 75, 64, ...

• Arithmetic
  Common Difference: 8
• Geometric
  Common Ratio: -11
• Arithmetic
  Common Difference: -11
• Geometric
  Common Ratio: -8

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
256, 64, 16, 4,... 

• Arithmetic
  Common Difference: 4
• Arithmetic 
  Common Difference: ¹/₄
• Geometric
  Common Ratio: -4
• Geometric 
  Common Ratio: ¹/₄

Given the explicit formula, find the first four terms:
a_n = -400(¹/₂)^n-1

• -400, -200, -100, -50
• -400, 200, -100, 50
• -400, -399.5, -399, -398.5
• -400, -300, -200, -100

Given the explicit formula, find the first four terms:
a_n = 19 - 5(n-1)

• 19, 14, 9, 4
• 19, 24, 29, 34
• 19, -95, 475, -2375
• 1, -4, -9, -14

What is the explicit formula that represents this sequence:
2, 8, 14, ...

• a_n = 2(6)^n-1
• a_n = 2 + 6(n-1)
• a_n = a_n-1 + 6
  a₁ = 2
• a_n = 6*a_(n-1)
  a₁ = 2
  

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11 + 2(n-1)
• a_n = 11(2)^n-1
• a_n = a_(n-1) + 11
  a₁ = 11

Is the equation linear, exponential, or quadratic?
y = 2x+ 4

• Linear
• Exponential
• Quadratic
• None of the above

Is the equation linear, exponential, or quadratic?
y = 2^x

• Linear
• Exponential
• Quadratic
• None of the above