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A person has 2 parents, 4 grandparents, ...

A person has 2 parents, 4 grandparents, 8 great grand parents, and so on. Find the number of his ancestors during the ten generations preceding his one.

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Number of ancestors during the ten generations preceding his own generation
= Sum of 10 terms of the G.P. 2,4,8,...
=2`(2^10−1)/ (2-1)`
​ =2046.
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