Finding steady states through sequences Suppose you take100 mg of aspirin once per day. Assume the aspirin has a half-lifeof one day; that is, every day, half of the aspirin in your blood iseliminated. Assume dn is the amount of aspirin in your blood afterthe nth dose, where d1 = 100.a. Find a recurrence relation for the sequence {dn}.b. Assuming the sequence {dn} converges, find thelong-term (steady-state) amount of aspirin in your blood.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.