Math CentralQuandaries & Queries


Question from Jessica:

every person has 2 birth parents, 4 birth grandparents, and so on. These people are known as ancestors. How many ancestors does a person have in each generation? write in exponential form. 3ed generation, great-grandparents? 4th generation? 10th generation?

Hi Jessica,

Each person has 2 parents.

Each parent has 2 parents which are grandparents of the original person so that person has $2 \times 2$ grandparents.

Each grandparent has 2 parents so that's $2 \times 2 \times 2$ great grandparents.



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