document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186207>Question 1186207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817090 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A 42-year-old man was infected by a corona virus disease. The doctor advised him <BR>\n" );
document.write( "to take a 500 mg of medication on the first day and decrease the dosage by one half each day for a week. <BR>\n" );
document.write( "What is the amount of medication will he take on the 7th day? Express your answer to the nearest whole number.<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "        T           A            B             L             E\r\n" );
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document.write( "The day                  1       2      3       4       5       6       7   \r\n" );
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document.write( "The amount, in grams    500    500/2  500/4   500/8   500/16   500/32  500/64\r\n" );
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document.write( "Thus you have this sequence of numbers  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F2%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"500%2F2%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  n = 1, 2, 3, 4, 5, 6, 7.\r\n" );
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document.write( "This sequence is called \"geometric progression\", or, equivalently, \"geometric sequence\".\r\n" );
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document.write( "The amount for the 7-th day is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F2%5E6 ALIGN=MIDDLE  ALT=\"500%2F2%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F64 ALIGN=MIDDLE  ALT=\"500%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7.81 = 8 grams (rounded).\r\n" );
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document.write( "Solved, answered and explained.\r<BR>\n" );
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document.write( "On geometric progressions, &nbsp;see introductory lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Geometric-progressions.lesson>Geometric progressions</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/The-proofs-of-the-formulas-for-geometric-progressions.lesson>The proofs of the formulas for geometric progressions</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Problems-on-geometric-progressions.lesson>Problems on geometric progressions</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Word-problems-on-geometric-progressions.lesson>Word problems on geometric progressions</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic <BR>\n" );
document.write( "<U>\"Geometric progressions\"</U>.\r<BR>\n" );
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document.write( "Save the link to this textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in ALGEBRA-II<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
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document.write( "into your archive and use when it is needed.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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