Geometric Series and Applications

Evaluate the geometric series below:
-2 - 10 - 50 - 250..., S6

• -7812

• -9678

• -8686

• -9932

Evaluate the geometric series below:
-1 -3 -9 - 27...,  S8

• -3280

• -3135

• -3323

• -3343

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

• 88419

• 78124

• 91846

• 92234

Evaluate the geometric series below:
4 - 16 + 64 - 256...,  S9

• 223444

• 230679

• 204516

• 209716

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

• -253

• -252

• 4

• -235

Find the common ratio for the geometric sequence.

• 10

• 1/2

• 2

• 4

What kind of sequence is illustrated below?

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

• Arithmetic, d = ½

• Geometric, r = ½

• Neither

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19