Geometric Sequence Explicit

Which of the following best describes this sequence?

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

The next two terms of the sequence 2,-4, 8,-16 are

• 32, 64

• 32, -64

• -64, 108

• 32, 20

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

• ^a_n= 3(2)^n-1

• ^a_n= 3+(2)ⁿ

• ^a_n= 3(2)ⁿ

• ^a_n= 3+(2)^n-1

The sequence 6, 18, 54...

• Arithmetic

• Geometric

• Explicit

• Recursive

What is the common ratio of the sequence: 16, -8 , 4, -2...

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:
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

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