Geometric Sequences and Summing Geometric Sequences

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

• 384

• 768

• 1,536

• 27

The next term of the geometric sequence

4, 16, 64, ...

is

• 256

• 132

• 120

• 150

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

• 384

• 512

• 768

• 1,024

What is the fifth term of the geometric sequence?

5, 15, 45,...

• 135

• 1875

• 1215

• 405

Given the sequence: 125, 25, 5, .... What is the zeroth term?

• 5

• 625

• 250

• 125

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

Write the explicit equation for the geometric sequence:

Write the explicit equation for the geometric sequence:

• t(n) = 3ⁿ

• t(n) = 2ⁿ

• t(n) = 5ⁿ

• t(n) = 4ⁿ

What is the next term in the geometric sequence 0.75, 3, 12, 48, ... ?

• 96

• 144

• 192

• 240

A sequence where each term after the first is obtained by multiplying the preceding term by a nonzero constant called the common ratio (r).

• Arithmetic Sequence

• Geometric Sequence

• Harmonic Sequence

• Fibonacci Sequence