Algebraic vs Geometric Sequences

What is the fifth term of the geometric sequence?

• 135

• 1875

• 1215

• 405

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

• 384

• 512

• 768

• 1,024

Write the explicit equation for the geometric sequence: 15, 45, 135, . . . ?

Write the explicit equation for the geometric sequence:

• t(n) = 3ⁿ

• t(n) = 2ⁿ

• t(n) = 5ⁿ

• t(n) = 4ⁿ

Write the explicit equation for the geometric sequence:

Find the common ratio for the following geometric sequence:

7, -7, 7, -7, ...

• 1

• -1

• 7

• -7

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3

• a_n = 5(3)^n-1

• a_n = 3(5)^n-1

• a_n = 5 + (n-1)3

Write the explicit formula for the following geometric sequence: 10, 20, 40, 80, ...

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Write the explicit rule for the following geometric sequence:

• a_n = 72(-6)^n-1

• a_n = 2(-6)^n-1

• a_n = 2(6)^n-1

• a_n = 72(-6)^n-1

Write the explicit formula for the following geometric sequence: 3, -12, 48, -192, ...

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1