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The number of bacteria in a culture doubles every hour. If there were 50 bacteria originally in the culture, how many bacteria will be there at the end of 5th hour? - Mathematics and Statistics

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प्रश्न

The number of bacteria in a culture doubles every hour. If there were 50 bacteria originally in the culture, how many bacteria will be there at the end of 5th hour?

योग
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उत्तर

a = 50 

r = 2 

n = 5

we have, 

tn = `a*r^((n - 1))`

t5 = `(50)*(2)^(5-1)`

= 50 × (2)4

= 50 × 16

t5 = 800

 After 5th hour 800 bacterias will be there in culture.

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अध्याय 2: Sequences and Series - Exercise 2.1 [पृष्ठ २७]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 2 Sequences and Series
Exercise 2.1 | Q 11 | पृष्ठ २७

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