Infinite Geometric Series

Question 1

What is a1?

Revolt · Accepted Answer

"30"; 30

Question 2

Which shows the exact distance traveled during the first six swings?

Revolt · Accepted Answer

mc001-3.jpg; mc001-2.jpg

Question 3

Does the sum of the infinite series converge?

Revolt · Accepted Answer

Yes, because |r| < 1.

Question 4

About how far does the pendulum swing before coming to rest?

Revolt · Accepted Answer

mc002-2.jpg

Question 5

Evaluate the infinite geometric series.3/25✔ 5/335/27

Revolt · Accepted Answer

✔ 5/33

Question 6

Consider the infinite geometric series: What is a1? What is r? Find the following partial sums: S2 = S3 =

Revolt · Accepted Answer

Selection 1: 3/20; Selection 2: 91/600

Question 7

square units

Revolt · Accepted Answer

Part 1: 1/16; Part 2: 1/64; If the pattern continues indefinitely, does the sum of the areas converge?: yes

Question 8

Torrey starts a new job with an annual salary of $60,000. For each year she continues to work for the same company, she will receive a 3 percent raise.If Torrey stays at this job, which shows how much she will have made over the course of her career?

Revolt · Accepted Answer

60,000 + 61,800 + 63,654 + …

Question 9

Repeated decimals can be written as an infinite geometric series to help convert them to a fraction. Consider the repeating decimal below.0.232323… = 0.23 + 0.23(0.01) + 0.23(0.01)2 + …What is a1? What is r?

Revolt · Accepted Answer

Part 1: 0.23; Part 2: 0.01

Question 10

Find the sum of the infinite geometric series:

Revolt · Accepted Answer

mc001-5.jpg

Infinite Geometric Series Answers

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