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Mosquitoes are growing at a rate of 10% a year. If there were 200 mosquitoes in the beginning. Write down the number of mosquitoes after n years. - Mathematics and Statistics

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Question

Mosquitoes are growing at a rate of 10% a year. If there were 200 mosquitoes in the beginning. Write down the number of mosquitoes after n years.

Sum
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Solution

a = 200, r = `1 + 10/100 = 11/10`

Mosquitoes at the end of 1st year = `200 xx 11/10`

Number of mosquitoes after n years

= `200 xx 11/10 xx (11/10)^2`

= `200(11/10)^"n"`

= After n years, = 200 (1.1)n 

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Chapter 2: Sequences and Series - Exercise 2.1 [Page 28]

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