document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175830>Question 1175830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A display of cans in a grocery store consists of 14 cans in the bottom row, 12 cans in the next row, and so on in an arithmetic sequence. The top row has 4 cans. Find the total number of cans in the display. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801528 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</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=801528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "Take the average (mean, half sum) of the 14 and 4, which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814%2B4%29%2F2 ALIGN=MIDDLE  ALT=\"%2814%2B4%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F2 ALIGN=MIDDLE  ALT=\"18%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9,\r\n" );
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document.write( "and mulriply it by the number of rows, which is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814-4%29%2F2+%2B+1 ALIGN=MIDDLE  ALT=\"%2814-4%29%2F2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F2%2B1 ALIGN=MIDDLE  ALT=\"10%2F2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5+1 = 6.\r\n" );
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document.write( "This product  9*6 = 54 is your <U>ANSWER</U>\r\n" );
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document.write( "<U>CHECK made with Excel</U>.  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;14 + 12 + 10 + 8 + 6+ 4 = 54.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;! Precisely correct !<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "As you understand, &nbsp;this display of cans represents a trapezoid, &nbsp;if to consider its front view.\r<BR>\n" );
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document.write( "What we do, &nbsp;when we solve the problem, &nbsp;is changing the format of this trapezoid to &nbsp;RECTANGULAR &nbsp;front view,<BR>\n" );
document.write( "rearranging the cans. &nbsp;You may think about the solution in this way . . . \r<BR>\n" );
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document.write( "It is about finding sum of an arithmetic progression.\r<BR>\n" );
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document.write( "For introductory lessons on arithmetic progressions see \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/Arithmetic-progressions.lesson>Arithmetic 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-arithmetic-progressions.lesson>The proofs of the formulas for arithmetic 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-arithmetic-progressions.lesson>Problems on arithmetic 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-arithmetic-progressions.lesson>Word problems on arithmetic 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 <U>\"Arithmetic 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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