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.

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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