Arithmetic and Geometric Sequences

Which kind of sequence has a common difference? (a)  

• Arithmetic
• Geometric

Which kind of sequence has a common ratio? (a)  

• Arithmetic
• Geometric

Which formula is used to find the recursive equation for arithmetic sequences?

• a_n = a_(n-1) + d
• a_n = a_(n-1) * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

Which formula is used to find the explicit equation for arithmetic sequences?

• a_n = a_(n-1) + d

• a_n = a_(n-1) * r

• a_n = a₁ + (n-1)d

• a_n = a₁ * r^n-1

Which formula is used to find the recursive equation for geometric sequences?

• a_n = a_(n-1) + d
• a_n = r⋅a_(n-1)
• a_n = a₁ + d(n-1)
• a_n = a₁ ⋅ r^n-1

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_(n-1) + d

• a_n = a_(n-1) · r

• a_n = a₁ + d(n-1)

• a_n = a₁ · r^n-1

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

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
-6, -18, -54...

• Arithmetic
  Common Difference: 3
• Geometric
  Common Ratio: -3
• Arithmetic
  Common Difference: 12
• Geometric
  Common Ratio: 3