document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064252>Question 1064252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A grocer makes a display of cans in which the top row has one can and each lower row has two more cans than the row above it. If the display contains 100 cans, how many rows does it contain? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679297 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=679297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A grocer makes a display of cans in which the top row has one can and each lower row has two more cans than the row above it. If the display contains 100 cans, how many rows does it contain? <BR>\n" );
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document.write( "Series:: 1+3+5+7+...<BR>\n" );
document.write( "That is an arithmetic series with a(1) = 1 and d = 2<BR>\n" );
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document.write( "Sum Formula:: S(n) = (n/2)(a(1)+a(n))<BR>\n" );
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document.write( "Solve for \"n\"::<BR>\n" );
document.write( "(n/2)(1+a(n)) = 100<BR>\n" );
document.write( "But a(n) = a(1)+(n-1)*2<BR>\n" );
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document.write( "n(1+1+2n-2) = 200<BR>\n" );
document.write( "n*2n = 200<BR>\n" );
document.write( "2n^2 = 200<BR>\n" );
document.write( "Ans:: n = 10 rows<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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