You are considered the first generation, your parents are considered the second generation, your grandparents are considered the third generation, etc. Assuming there is no incest in your family tree, the number of generations in the past, g, is a function of the number of total ancestors, A, you have back to and including generation G. The formula below gives the relationship between G and A: G= log2(A + 2) For example, if you have 6 ancestors, then G = log2(6+ 2) = log28 = 3, meaning that at the third generation you have 6 ancestors (your parents and your grandparents). %3D How many generations is represented by 30 ancestors? (b) How many total ancestors have you had in the last 9 generations?
You are considered the first generation, your parents are considered the second generation, your grandparents are considered the third generation, etc. Assuming there is no incest in your family tree, the number of generations in the past, g, is a function of the number of total ancestors, A, you have back to and including generation G. The formula below gives the relationship between G and A: G= log2(A + 2) For example, if you have 6 ancestors, then G = log2(6+ 2) = log28 = 3, meaning that at the third generation you have 6 ancestors (your parents and your grandparents). %3D How many generations is represented by 30 ancestors? (b) How many total ancestors have you had in the last 9 generations?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:You are considered the first generation, your parents are considered the second
generation, your grandparents are considered the third generation, etc. Assuming
there is no incest in your family tree, the number of generations in the
g, is a function of the number of total ancestors, A, you have back to and
including generation G. The formula below gives the relationship between G and A:
past,
G= log:(A + 2)
%3D
For example, if you have 6 ancestors, then G = log2(6 + 2) = log28 = 3, meaning that at
the third generation you have 6 ancestors (your parents and your grandparents).
%3D
-) How many generations is represented
by 30 ancestors?
(b) How many total ancestors have you had
in the last 9 generations?
(d) A generation is usually considered to
be about 30 years. Using this definition,
how many total ancestors did you have
back to the year 1420 ?
c) Solve for formula for A in terms of G.
Page
2 /
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