Question 1186207: A 42-year-old man was infected by a corona virus disease. The doctor advised him to take a 500 mg of medication on the first day and decrease the dosage by one half each day for a week. What is the amount of medication will he take on the 7th day? Express your answer to the nearest whole number.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
A 42-year-old man was infected by a corona virus disease. The doctor advised him
to take a 500 mg of medication on the first day and decrease the dosage by one half each day for a week.
What is the amount of medication will he take on the 7th day? Express your answer to the nearest whole number.
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T A B L E
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The day 1 2 3 4 5 6 7
The amount, in grams 500 500/2 500/4 500/8 500/16 500/32 500/64
Thus you have this sequence of numbers  , n = 1, 2, 3, 4, 5, 6, 7.
This sequence is called "geometric progression", or, equivalently, "geometric sequence".
The amount for the 7-th day is  =  = 7.81 = 8 grams (rounded).
Solved, answered and explained.
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On geometric progressions, see introductory lessons
- Geometric progressions
- The proofs of the formulas for geometric progressions
- Problems on geometric progressions
- Word problems on geometric progressions
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic
"Geometric progressions".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.
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