document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096859>Question 1096859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the sequece is arithmetic. If the sequence is arithmetic, find the common difference.\r<BR>\n" );
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document.write( "a_n = n(n+9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711259 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=711259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "Plug in n = 1 to find the first term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+n%28n%2B9%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+n%28n%2B9%29\"   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+=+1%281%2B9%29 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+1%281%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > n is replaced with 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+1%2810%29 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+1%2810%29\"   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+=+10 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plug in n = 2 to find the second term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+n%28n%2B9%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+n%28n%2B9%29\"   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%5B2%5D+=+2%282%2B9%29 ALIGN=MIDDLE  ALT=\"a%5B2%5D+=+2%282%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute 2 for n\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D+=+2%2811%29 ALIGN=MIDDLE  ALT=\"a%5B2%5D+=+2%2811%29\"   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%5B2%5D+=+22 ALIGN=MIDDLE  ALT=\"a%5B2%5D+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plug in n = 3 to find the third term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D+=+3%283%2B9%29 ALIGN=MIDDLE  ALT=\"a%5B3%5D+=+3%283%2B9%29\"   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%5B3%5D+=+3%2812%29 ALIGN=MIDDLE  ALT=\"a%5B3%5D+=+3%2812%29\"   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%5B3%5D+=+36 ALIGN=MIDDLE  ALT=\"a%5B3%5D+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract the second and first terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+a%5B2%5D+-+a%5B1%5D+=+22+-+10+=+12 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+a%5B2%5D+-+a%5B1%5D+=+22+-+10+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now subtract the second and third terms\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+%3C%3E+d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+%3C%3E+d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > this means we do not have an arithmetic sequence. <BR>\n" );
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