Geometric Sequences Practice

What is the common ratio?

• r = 1/3

• r = 2

• r = 3

• r = 4

Write an explicit equation given a₀ = 5 and r = 2.

• a_n = 5 - 2(n)

• a_n = 2(5)ⁿ

• a_n = 5 + 2(n)

• a_n = 5(2)ⁿ

• r = 4

• r = -3

• r = 1/4

• r = 3

Given the explicit formula a_n = 1(4)ⁿ
Find a₇

What is the common ratio?

• r = 2

• r = 1/2

• r = 4

• r = -2

Which of the following is a recursive formula for a geometric sequence?

• a_n = 2(3)ⁿ

• a_n+1 = a_n + 4
  a₀ = 7

• a_n = 8 + 5(n)

Given the explicit formula a_n = 9(1/3)ⁿ
What is the start, a₀ ?

• a₀ = 1/3

• a₀ = 9

• a₀ = 1/9

• a₀ = 3

What is the recursive formula for the geometric sequence shown in the table?

• a_n+1 = a_n + 7
  a₀ = 2

• a_n+1 = a_n + 2
  a₀ = 7

Given the explicit equation a_n = 100(1/2)ⁿ

Find a₄

Which of the following sequences is geometric?

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