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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.

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प्रश्न

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.

योग
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उत्तर

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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अध्याय 2: Sequences and Series - Exercise 2.1 [पृष्ठ २८]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 2 Sequences and Series
Exercise 2.1 | Q 14. (iii) | पृष्ठ २८

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