Question 137(ii)

While studying her family's history, Shikha discovers records of ancestors 12 generations back. She wonders how many ancestors she had in the past 12 generations. She starts to make a diagram to help her figure this out. The diagram soon becomes very complex.

Write an equation for the number of ancestors in a given generation n.

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Solution

On the basis of generation-ancestor graph, the number of ancestors in n generations wil $2^{n}$ .

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Question 137(i)

While studying her family's history, Shikha discovers records of ancestors 12 generations back. She wonders how many ancestors she had in the past 12 generations. She starts to make a diagram to help her figure this out. The diagram soon becomes very complex.

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On the basis of generation-ancestor graph, the number of ancestors in n generations wil 2n.

On the basis of generation-ancestor graph, the number of ancestors in n generations wil $2^{n}$ .