document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047950>Question 1047950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of five numbers in an Arithmetic Progression is 25 and the sum of their squares is 165. Find the common difference. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #663512 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=663512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B5%5D+=+25+=+2a%5B1%5D%2B4d ALIGN=MIDDLE  ALT=\"S%5B5%5D+=+25+=+2a%5B1%5D%2B4d\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+5-2d ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+5-2d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D%5E2+%2B+a%5B2%5D%5E2+%2B+a%5B3%5D%5E2++%2B+a%5B4%5D%5E2+%2B+a%5B5%5D%5E2++=+165 ALIGN=MIDDLE  ALT=\"a%5B1%5D%5E2+%2B+a%5B2%5D%5E2+%2B+a%5B3%5D%5E2++%2B+a%5B4%5D%5E2+%2B+a%5B5%5D%5E2++=+165\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285-2d%29%5E2+%2B+%285-d%29%5E2+%2B5%5E2+%2B+%285%2Bd%29%5E2+%2B+%285%2B2d%29%5E2+=+165 ALIGN=MIDDLE  ALT=\"%285-2d%29%5E2+%2B+%285-d%29%5E2+%2B5%5E2+%2B+%285%2Bd%29%5E2+%2B+%285%2B2d%29%5E2+=+165\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "After expanding each term accordingly, you should get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125+%2B+10d%5E2+=+165 ALIGN=MIDDLE  ALT=\"125+%2B+10d%5E2+=+165\"   DISABLED_style= \"max-width:90%; height:auto;\" >   \r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+4 ALIGN=MIDDLE  ALT=\"d%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "===> d = 2 or -2.\r<BR>\n" );
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document.write( "(If d = 2, the sequence is 1,3,5,7,9.  If d = -2, the sequence is 9,7,5,3,1.  These are two different sequences, both of which <BR>\n" );
document.write( "satisfy the initial conditions.) </SPAN>\n" );
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