kris10 A certain kind of bacteria doubles every 4 hours. If initially there are 2000 bacteria, how many will be produced in 12 hours? one year ago one year ago

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1. harsimran_hs4

well if it becomes double very 4 hours then it will become 4times in 8 hours and finally 8times after 12 hours so 2^(n/4)* 2000 will be strength of bacteria after n hours clear??

2. kris10

is there a general formula for this certain question ?

3. harsimran_hs4

no i predicted the trend from the question you need to analyze the question and then find out the answer

4. harsimran_hs4

is there any confusion??

5. kris10

ahhhh

6. kris10

does n stands for the time

7. harsimran_hs4

n = number of hours

8. kris10

$2^{\frac{ 12 }{4 }}\times2000$

9. kris10

does it goes like that?

10. harsimran_hs4

yes!!

11. harsimran_hs4

ill tell you how i guessed the general trend

12. kris10

16000

13. harsimran_hs4

look its getting double of the previous so everytime it`s getting multiplied by 2 say initially they were 2000 in number the they would be 2* 2000 then again next would be 2* 2* 2000 so this can be generalized as 2^m *2000 but observing we find that they multiply every 4 hours not 1 hour so 2^(n/4) * 2000 hope this clears up doubts in your mind

14. kris10

thank you very much

15. kris10