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A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in the first generation, how many will there be by the 15th generation?

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Answer: 186655

Explanation:

Given: A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. It means they grow exponentially.

The initial number of geese in the first generation = 3

The exponential growth equation for nth generation is given by :-


y=Ab^(n-1), where A is the initial amount and b is the multiplicative rate of change.

such that for n=1,
y=3(2.2)^(1-1)=3

In 15th generation with multiplicative rate of change b= 2.2, the population is given by :-


y=3(2.2)^(15-1)\\\Rightarrow\ y=3(62218.21)\\\Rightarrow\ y=186654.63\approx186655

User Nikhil Kothari
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