In the first generation there are 4 monkeys on an island. Every generation after that the monkey population doubles. In generati
on 2 there are 8 monkeys, in generation 3 there are 16 monkeys, and so on. Which explicit formula can be used to find the number of monkeys in the nth generation?
1 answer:
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Answer:
Step-by-step explanation:
Given
5 tuples implies that:
implies that:
Required
How many 5-tuples of integers are there such that
From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.
Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location
So, there are n + 4 items to make selection from
The selection becomes:
Expand the numerator
<u><em>Solved</em></u>