Geometric Series Word Problems

Which of the following represents the SUM of a geometric series with 8 TOTAL terms and whose FIRST TERM is 3 and whose COMMON RATIO is 4?

• 32,756

• 42,560

• 28,765

• 65,535

What is the SUM of the first 10 terms for the following geometric series:

2-6+18-54+...

• 59048

• -29524

• 524288

• 3069

Evaluate (that is, find the sum) the geometric series below:

4 - 8 - 16 - 32..., n = 7

• 195

• 172

• 202

• 145

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

• 88419
• 78124
• 91846
• 92234

Evaluate the geometric series below:

-2 - 10 - 50 - 250..., S₆

• -7812

• -9678

• -8686

• -9932

Evaluate the geometric series below:
a₁ = -2, a_n = -1458, r = 3

• -2186
• -2408
• 1
• -2703

Evaluate the geometric series below:
a₁ = 4, a_n = 262144, r = 4

• 349524
• 341690
• 344023
• 338135

John has purchased 20 books. The 1st book cost $1, the 2nd cost $2, the 3rd cost $4, and the 4th cost $8, and so on. How much did John pay for the 20 books?

• $1, 048, 575
• $2, 000, 000
• $1, 555, 119