Answered

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Each person has two parents, four grandparents, eight great-grandparents, and so on. What is the total number of ancestors a person has, going back five generations? twelve generations?

Sagot :

62

8190

1) Gathering the data:

So Adding the 2 + 4 +8 +16+32 Then we can write that up to the 5th generation each person has 62 ancestors.

2) Or we can check. Let's write out considering that the ratio is 2 and the first term is 2 since the person per se is not counted.

[tex]\begin{gathered} S=\frac{a_1(1-r^n)}{1-r} \\ S_5=\text{ }\frac{2(1-2^5)^{\square}}{1-2}=62 \\ S_{12}=\frac{2(1-2^{11})}{1-2}=8190 \end{gathered}[/tex]

3) Hence, each person has counting back up to the 5th generations 62 ancestors and 4094 when it comes to 11 generations

View image WarrenV421232
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