Question

Attempt any two
0.9) 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 ?​

Answer 1

Step-by-step explanation:

intially 50 bacteria

every hour = twice of bacteria count

hour 1 = 50×2 =100

hour 2 =100×2=200

hour 3=200×2=400

hour 4=400×2=800

hour 5=800×2= 1600

at 5th hour the bacteria count will be =1600

Answer 2

Answer:

16

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Syllabus

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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?

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