number of a bacteria in a centre box trouble every as there were five bacterias present in the box original and the box was fulfilled with bacteria in 30 years how many bacteria present at the end of four hours? Q2 in how many hours will the box be filled half with the bacterias? Q3 the 1/4 the part of the box will be filled with bacteria in?
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Answer:
- It is given that the number of bacteria doubles every hour.
- Therefore, the number of bacteria after every hour will form a G.P.
- with first term (a=30) and common ratio (r=2)
- ∴a
- 3
- =ar
- 2
- =(30)(2)
- 2
- =120
- Therefore, the number of bacteria at the end of 2nd hour will be 480.
- a
- 5
- =ar
- 4
- =(30)(2)
- 4
- =480
- and a
- n+1
- =ar
- n
- =(30)(2)
- n
- Thus the number of bacteria at the end of nth hour will be (30)(2)
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