Rational Exponents, Arithmetic and Geometric Sequences

Find the next term:

100, 65, 30, -5...

• 20

• -20

• 40

• -40

Create the formula for the geometric sequence:

-4, -16, -64, -256...

• a_n = -4(4)^n-1

• a_n = -4(-4)^n-1

• a_n = 4(4)ⁿ⁺¹

• a_n = 4(4)^n-1

What is the formula 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

What are the first three terms of the sequence defined by the following equation?
a_n = 7 + (n - 1)5

• 7, 35, 175
• 7, 2, -3
• 12, 17, 22
• 7, 12, 17

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

• 19,683
• 6,561
• 2,187
• 729

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

What is the term position of 31,104 in the following geometric sequence?

4, 24, 144,...

• a₅

• a₈

• a₆

• a₇

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:
256, 64, 16, 4,... 

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

• Geometric 
  Common Ratio: ¹/₄

Given the recursive formula, find the first four terms:
a_n = -3⋅a_n-1
a₁ = 45

• 45, -135, 405, -1215
• -45, -135, -405, -1215
• 45, 135, 405, 1215
• 45, 42, 39, 36