1.

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(i) 3 years(ii) 10 years(iii) n years

Answer»

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

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

(i) Number of mosquitoes after 3 years

= 200 x 11/10 x (11/10)2

 = 200 (11/10)3

= 200 (1.1)3

(ii) Number of mosquitoes after 10 years = 200 (1.1)10

(iii) Number of mosquitoes after n years = 200

(1.1)n



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