While reviewing the genealogy of her family. 12 generations of ancestors' records are found by Shikha. In the previous 12 generations, she wonders how many ancestors she has had. She begins drawing a graphic to aid in her understanding of this. The diagram quickly becomes exceedingly intricate.

Choose an equation for the number of ancestors in the nth generation from the options available.

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2 n

3 n

answer is C.

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Detailed Solution

It is given a diagram,
Question Image

In particular generation, ancestors =

2×number of ancestors in previous past generation

By the given data, we know that every past generation will have two times the number of present generations.
If Shikha’s past generation number is 0. So, her parents' past generation number will be 1, her grandparents will be 2 and so on.
The table representing generations and the ancestors is as follows,