Chapter 13.CR, Problem 63E

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4th Edition

James Stewart + 2 others

ISBN: 9781305071742

Textbook Problem

**Ancestors **A person has two parents, four grandparents, eight great-grandparents, and so on. What is the total number of a person’s ancestors in

To determine

**To find:**

The total number of a person’s ancestors in

Explanation

**Given:**

A person has two parents, four grandparents, eight great-grandparents, and so on.

**Approach:**

Show that the number of ancestors in subsequent generations form a geometric sequence. And find partial sum of first

**Calculation:**

Ratio of ancestors in second generation to first generation is

Ratio of ancestors in third generation to second generation is

This proves that the ancestors in subsequent generation form a geometric sequence with first term,

The sum of first

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Sect-13.1 P-11ESect-13.1 P-12ESect-13.1 P-13ESect-13.1 P-14ESect-13.1 P-15ESect-13.1 P-16ESect-13.1 P-17ESect-13.1 P-18ESect-13.1 P-19ESect-13.1 P-20ESect-13.1 P-21ESect-13.1 P-22ESect-13.1 P-23ESect-13.1 P-24ESect-13.1 P-25ESect-13.1 P-26ESect-13.1 P-27ESect-13.1 P-28ESect-13.1 P-29ESect-13.1 P-30ESect-13.1 P-31ESect-13.1 P-32ESect-13.1 P-33ESect-13.1 P-34ESect-13.1 P-35ESect-13.1 P-36ESect-13.1 P-37ESect-13.1 P-38ESect-13.1 P-39ESect-13.1 P-40ESect-13.1 P-41ESect-13.1 P-42ESect-13.1 P-43ESect-13.1 P-44ESect-13.1 P-45ESect-13.1 P-46ESect-13.1 P-47ESect-13.1 P-48ESect-13.1 P-49ESect-13.1 P-50ESect-13.1 P-51ESect-13.1 P-52ESect-13.1 P-53ESect-13.1 P-54ESect-13.1 P-55ESect-13.1 P-56ESect-13.1 P-57ESect-13.1 P-58ESect-13.1 P-59ESect-13.1 P-60ESect-13.1 P-61ESect-13.1 P-62ESect-13.1 P-63ESect-13.1 P-64ESect-13.1 P-65ESect-13.1 P-66ESect-13.1 P-67ESect-13.1 P-68ESect-13.1 P-69ESect-13.1 P-70ESect-13.1 P-71ESect-13.1 P-72ESect-13.1 P-73ESect-13.1 P-74ESect-13.1 P-75ESect-13.1 P-76ESect-13.1 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P-5ESect-13.6 P-6ESect-13.6 P-7ESect-13.6 P-8ESect-13.6 P-9ESect-13.6 P-10ESect-13.6 P-11ESect-13.6 P-12ESect-13.6 P-13ESect-13.6 P-14ESect-13.6 P-15ESect-13.6 P-16ESect-13.6 P-17ESect-13.6 P-18ESect-13.6 P-19ESect-13.6 P-20ESect-13.6 P-21ESect-13.6 P-22ESect-13.6 P-23ESect-13.6 P-24ESect-13.6 P-25ESect-13.6 P-26ESect-13.6 P-27ESect-13.6 P-28ESect-13.6 P-29ESect-13.6 P-30ESect-13.6 P-31ESect-13.6 P-32ESect-13.6 P-33ESect-13.6 P-34ESect-13.6 P-35ESect-13.6 P-36ESect-13.6 P-37ESect-13.6 P-38ESect-13.6 P-39ESect-13.6 P-40ESect-13.6 P-41ESect-13.6 P-42ESect-13.6 P-43ESect-13.6 P-44ESect-13.6 P-45ESect-13.6 P-46ESect-13.6 P-47ESect-13.6 P-48ESect-13.6 P-49ESect-13.6 P-50ESect-13.6 P-51ESect-13.6 P-52ESect-13.6 P-53ESect-13.6 P-54ESect-13.6 P-55ESect-13.6 P-56ESect-13.6 P-57ESect-13.6 P-58ESect-13.6 P-59ESect-13.CR P-1CCSect-13.CR P-2CCSect-13.CR P-3CCSect-13.CR P-4CCSect-13.CR P-5CCSect-13.CR P-6CCSect-13.CR P-7CCSect-13.CR P-8CCSect-13.CR P-9CCSect-13.CR P-10CCSect-13.CR P-11CCSect-13.CR 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P-63ESect-13.CR P-64ESect-13.CR P-65ESect-13.CR P-66ESect-13.CR P-67ESect-13.CR P-68ESect-13.CR P-69ESect-13.CR P-70ESect-13.CR P-71ESect-13.CR P-72ESect-13.CR P-73ESect-13.CR P-74ESect-13.CR P-75ESect-13.CR P-76ESect-13.CR P-77ESect-13.CR P-78ESect-13.CR P-79ESect-13.CR P-80ESect-13.CR P-81ESect-13.CR P-82ESect-13.CR P-83ESect-13.CT P-1CTSect-13.CT P-2CTSect-13.CT P-3CTSect-13.CT P-4CTSect-13.CT P-5CTSect-13.CT P-6CTSect-13.CT P-7CTSect-13.CT P-8CTSect-13.CT P-9CTSect-13.CT P-10CTSect-13.CT P-11CTSect-13.CT P-12CTSect-13.CT P-13CTSect-13.FOM P-1PSect-13.FOM P-2PSect-13.FOM P-3PSect-13.FOM P-4PSect-13.FOM P-5PSect-13.FOM P-6P