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The recursive formula is

U1 = 30Un+1 = Un + 30 for 1 < =n <= 3

Un+1 = Un + 30 - 30 = Un for 4 <= n < =30

Un+1 = Un - 30 for 30<= n <= 34

Un = 0 for n >= 35


The explicit formula is

Un = 30*n for n = 1 to 4

Un = 120 for 4 <= n <= 30

Un = 120 - 30*(n-30) for 31 <= n <= 34

Un = 0 for n > 34.


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Q: What is the recursive and explicit formula when a patient receives medication of 30 milligrams every 4 hours for 5 days. The patient also loses 30 of the medication in the bloodstream after 4 hrs.?
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