Counting Ancestors.

Algebra Level 2

Sam has two parents and four grandparents. How many ancestors did he has six generations ago?


The answer is 64.

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

Chew-Seong Cheong
Oct 30, 2018

One generation ago, Sam has 2 = 2 1 2=2^1 , two generations ago he has 4 = 2 2 4=2^2 . therefore, n n generations ago, he has 2 n 2^n ancestors. So, for n = 6 n=6 , 2 6 = 64 2^6 = \boxed {64} ancestors.

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