Maharashtra State BoardHSC Science (Electronics) 11th
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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 5thhour? - Mathematics and Statistics

Sum

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 5thhour?

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Solution

Since the number of bacteria in culture doubles every hour and there were 50 bacteria originally, the number of bacteria every hour forms a G.P. with a = 50 and r = 2.

To find the number of bacteria at the end of 5thhour, we have to find t6

∴ number of bacteria at the end of 5thhour

= t6

= ar6–1

= 50(2)5

= 50 × 32

= 1600

  Is there an error in this question or solution?
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