# 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 3 years. - Mathematics and Statistics

Sum

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 3 years.

#### Solution

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

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

Number of mosquitoes after 3 years

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

= 200(11/10)^3

= 200 (1.1)3

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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 2 Sequences and Series
Exercise 2.1 | Q 14. (i) | Page 28