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Grade 11Algebra

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

Profile image of Kush Raval
7 Years agoGrade 11
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1 Answer

Profile image of Aditya Gupta
7 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.