Question

You have two parents, four grandparents, eight great-grandparents, and so forth. (a) If all your ancestors...

You have two parents, four grandparents, eight great-grandparents, and so forth.

(a)

If all your ancestors were distinct, what would be the total number of your ancestors for the past 38 generations (counting your parents' generation as number one)? (Hint: Use the formula for the sum of a geometric sequence.)

________

(b)

Assuming that each generation represents 25 years, how long (in years) is 38 generations?

_____ yr

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