Q. 1375.0( 1 Vote )

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



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

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

Answer :

A. Table showing number of ancestors in each of the 12 generations:



Graph showing number of ancestors in each of the 12 generations:



B. Let the number of ancestors be ‘a’.


From the table, we know that


a = 20, 21, 22, 23, 24 … 210, 211, 212.


a = 2n where n is the generation


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


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