Chapter 12, Problem 63RE

To determine

To find: the total number of person’s ancestors in the 15^th generation.

Answer to Problem 63RE

  $\text{32768}$

Explanation of Solution

Given information:

A person has two parents, 4 grandparents, 8 great grandparents and so on.

Calculation:

The series for the given information is 2, 4, 8, 16,…

This can be written as $2,2^2,2^3,2^4,\mathrm{...}$

So, the nth term of the series can be written as $a_n=2^n$ .

Therefore, the total number of person’s ancestors in 15^th generation is

  $2^{15}=\text{32768}$.