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.

Make a table and a graph showing the number of ancestors in each of the 12 generations.

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Solution

On the basis of given diagram, we can make a table that shows the number of ancestors in each of the 12 generations.

Generations Ancestors
1st 2
2nd $2^{2}$
3rd $2^{3}$
. .
. .
. .
12th $2^{12}$

Hence, we can also make a graph that shows the relation between generation and ancestors.

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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.

Q. A student is constructing a family tree. If he wants to track back through

10

generations to calculate the total number of ancestors he has, then the total number of ancestors after the

10^{t h}

generation is

Q. A student is constructing a family tree. If he wants to track back through

10

generations to calculate the total number of ancestors he has, then the total number of ancestors after the

10^{t h}

generation is

Q. In a family, a girl and her brother are said to be more closely related as compared to girl and her first cousin on evolutionary basis. Identify the correct statement based on this information.

Statement 1: They have a common ancestor in the second generation.

Statement 1: They have a common ancestor in the first generation.

Q. Alia has just started studying history. She is wondering which of the following situations can be said to be a part of history. Could you help her out by selecting the right situations?

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On the basis of given diagram, we can make a table that shows the number of ancestors in each of the 12 generations. Generations Ancestors 1st 2 2nd 22 3rd 23 . . . . . . 12th 212 Hence, we can also make a graph that shows the relation between generation and ancestors.

On the basis of given diagram, we can make a table that shows the number of ancestors in each of the 12 generations.

Generations Ancestors
1st 2
2nd $2^{2}$
3rd $2^{3}$
. .
. .
. .
12th $2^{12}$

Hence, we can also make a graph that shows the relation between generation and ancestors.