Geometric Series Word Problems

Build the series knowing that it has 5 terms, starts with -2 and has a common ratio of -4.

• -2 - 8 - 32 - 128 - 512

• -2 + 8 - 32 + 128 - 512

• 2 + 8 + 32 + 128 + 512

• -2 + 8 + 32 - 128 + 512

Evaluate the geometric series below:
4 + 20 + 100 + 500...,  S₇

• 88419

• 78124

• 91846

• 92234

Evaluate the geometric series below:
-4 - 8 - 16 - 32...,  S₆

• -253

• -252

• 4

• -235

What is the common ratio in the geometric sequence 72, 36, 18, 9...

• 1/3

• 1/2

• 2

• 3

What kind of sequence is illustrated below?

400, 200, 100, 50, 25, ...

• Arithmetic, d = ½

• Geometric, r = ½

• Neither

Evaluate (find the sum) of this geometric series.

• 36352

• 52428

• 46121

• 41131

• -4/5

Find the geometric sum 

• -1456

• -4095

• 1456

• 4095

What best describes the following infinite geometric series: 1/3 - 1/9 + 1/27 - 1/81 + ...

• Diverges

• Converges