Geometric Series and Applications

• 3

• -2

• 2

What is the sum of the first three terms of the sequence 3, 15, 75,375...?

• 15

• 67

• 93

• 125

Find the sum of the geometric series.

2 + 12 + 72 + 432

• 432

• 518

• 211

• 438

Find the sum of the n terms when

a₁=4 , r = -5 and n = 4

• 416

• -416

• 775

• -775

What is the value of S₁₀ for the following geometric series:

2-6+18-54+...

• 59048

• -29524

• 524288

• 3069

Find the sum of the infinite geometric series, if it exists.

• 8

• 8/5

• 10

• Does not exist

• 4/5

• 5

• 6.5

• Does not exist

• -585

• 585

• -21,845

• 21,845

Evaluate the geometric series below:
4 - 8 - 16 - 32...,  S₇

• 195

• 172

• 202

• 145