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Please answer the following question: (Make it fast !!!)

Please answer the following question:
(Make it fast !!!)

Grade:11

1 Answers

Aditya Gupta
2081 Points
5 years ago
the answer would be 18.3
let us assume that immediately after the nth dose is taken, the amount of medicine in body be Mn ml.
4 hours after the nth dose is taken, the medicine will be 25% or 1/4th less.
so it will be Mn – Mn/4= 3Mn/4.
since 4 hours have passed, the person will now consume n+1 th dose of 6 ml.
hence, Mn+1= 3Mn/4 + 6
this is a recurrence relation. also, we know that M1= 6.
so we can find out M2, using that M3, then M4 and finally M5, which turns out to be 2343/128= 18.3ml.

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