Is my family like that?

Calculus Level 1

How many great-great-great-great-great-great-great-grandparents have I? My family is in the picture above


The answer is 512.

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1 solution

Kay Xspre
Oct 14, 2015

You started with yourself, then counting up, you find Father and Mother. They each have parents of their own, and their parents also have parents. The relation will then be 1 , 2 , 4 , 8 , , 2 n 1 1, 2, 4, 8, \dots, 2^{n-1} when you count your ancestors up n n times. Here you count up 9 times, so the ancestors at that generation will be 2 9 = 512 2^9 = 512

good caliberation

Nikhil Jha - 5 years, 8 months ago

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