3.2. You have two parents, four grandparents, eight great-grandparents, and so forth. 3.2.1. If all your ancestors were distinct, what would be the total number of your ancestors for the past 40 generations (counting your parents' generation as number one)? (Hint: Use the formula for the sum of a geometric sequence.) 3.2.2. Assuming that each generation represents 25 years, how long is 40 generations? 3.2.3. The total number of people who have ever lived is approximately 10 billion, which equals 1010 people. Compare this fact with the answer to part (a). What can you deduce?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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3.2. You have two parents, four grandparents, eight great-grandparents,
and so forth.
3.2.1. If all your ancestors were distinct, what would be the total
number of your ancestors for the past 40 generations (counting
your parents' generation as number one)? (Hint: Use the
formula for the sum of a geometric sequence.)
3.2.2. Assuming that each generation represents 25 years, how
long is 40 generations?
3.2.3. The total number of people who have ever lived is
approximately 10 illion, which equals 1010 people. Compare
this fact with the answer to part (a). What can you deduce?
Transcribed Image Text:3.2. You have two parents, four grandparents, eight great-grandparents, and so forth. 3.2.1. If all your ancestors were distinct, what would be the total number of your ancestors for the past 40 generations (counting your parents' generation as number one)? (Hint: Use the formula for the sum of a geometric sequence.) 3.2.2. Assuming that each generation represents 25 years, how long is 40 generations? 3.2.3. The total number of people who have ever lived is approximately 10 illion, which equals 1010 people. Compare this fact with the answer to part (a). What can you deduce?
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