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The number of bacteria in a certain cult...

The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of 2nd hour, 4th hour and nth hour?

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To solve the problem of how many bacteria will be present at the end of the 2nd hour, 4th hour, and nth hour, we can use the concept of geometric progression (GP). ### Step-by-Step Solution: 1. **Identify the Initial Condition**: The initial number of bacteria in the culture is given as 30. 2. **Understand the Doubling Process**: ...
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. If the p t h ,\ q t h\ a n d\ r t h terms of a G.P. are a ,\ b ,\ c re...

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  2. Find four numbers forming a geometric progression in which the third ...

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  3. The number of bacteria in a certain culture doubles every hour. If ...

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  4. What will Rs. 500 amounts to in 10 years after its deposit in a bank w...

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  5. A manufacturer reckons that the value of a machine, which costs him Rs...

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  6. If the first and the nth terms of a G.P., are aa n db , respectively, ...

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  7. Show that the products of the corresponding terms o the sequences a ,\...

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  8. If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G...

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  9. Show that each of one of the following progression is a G.P. Also, fin...

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  10. Show that each of one of the following progression is a G.P. Also, fin...

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  11. Show that each of one of the following progression is a G.P. Also, ...

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  12. Show that each of one of the following progression is a G.P. Also, ...

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  13. Show that the sequence defined by an=2/(3^n),\ n in N\ is a G.P.

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  14. Find: the ninth term of the G.P. 1,4,16,64,………

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  15. Find: the 10th term of the G.P. -3/4,1/2,-1/3,2/9, dot

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  16. Find: the 8th term of the G.P. 0. 03 , 0.06 , 0.012 ,

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  17. Find: the 12th term of the G.P. 1/(a^3x^3),\ a x ,\ a^5x^5,\ dot

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  18. Find: n th term of the G.P. sqrt(3),1/(sqrt(3)),1/(3sqrt(3)),

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  19. Find: the 10th term of the G.P. sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),

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  20. Find the 4th term from the end of the G.P. 2/(27),2/9,2/3, ,, , , ,...

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