document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=522593>Question 522593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this challenge question on arithmetic sequences: if the 9th term of an arithmetic sequence is 27 and the 25th term is 123 what is the first term of the sequence </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #346925 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=346925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> nth term formula of an arithmetic sequence = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2B%28n-1%29d ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B9%5D=27 ALIGN=MIDDLE  ALT=\"a%5B9%5D=27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=9 ALIGN=MIDDLE  ALT=\"n=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute the values in nth term formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27=a%5B1%5D%2B%289-1%29d ALIGN=MIDDLE  ALT=\"27=a%5B1%5D%2B%289-1%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27=a%5B1%5D%2B8d ALIGN=MIDDLE  ALT=\"27=a%5B1%5D%2B8d\"   DISABLED_style= \"max-width:90%; height:auto;\" >....................(1)\r<BR>\n" );
document.write( "\n" );
document.write( "and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B25%5D=123 ALIGN=MIDDLE  ALT=\"a%5B25%5D=123\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=25 ALIGN=MIDDLE  ALT=\"n=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute the values in nth term formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=123=a%5B1%5D%2B%2825-1%29d ALIGN=MIDDLE  ALT=\"123=a%5B1%5D%2B%2825-1%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=123=a%5B1%5D%2B24d ALIGN=MIDDLE  ALT=\"123=a%5B1%5D%2B24d\"   DISABLED_style= \"max-width:90%; height:auto;\" >...................(2)\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract (1) from (2)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=123=a%5B1%5D%2B24d ALIGN=MIDDLE  ALT=\"123=a%5B1%5D%2B24d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27=-a%5B1%5D-8d ALIGN=MIDDLE  ALT=\"-27=-a%5B1%5D-8d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96=16d ALIGN=MIDDLE  ALT=\"96=16d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2F16=d ALIGN=MIDDLE  ALT=\"96%2F16=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=d ALIGN=MIDDLE  ALT=\"6=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=6 ALIGN=MIDDLE  ALT=\"d=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Plug in the value of d in (1)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27=a%5B1%5D%2B8d ALIGN=MIDDLE  ALT=\"27=a%5B1%5D%2B8d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27=a%5B1%5D%2B%288%2A6%29 ALIGN=MIDDLE  ALT=\"27=a%5B1%5D%2B%288%2A6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27=a%5B1%5D%2B48 ALIGN=MIDDLE  ALT=\"27=a%5B1%5D%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2827-48%29=a%5B1%5D ALIGN=MIDDLE  ALT=\"%2827-48%29=a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-21=a%5B1%5D ALIGN=MIDDLE  ALT=\"-21=a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=-21 ALIGN=MIDDLE  ALT=\"a%5B1%5D=-21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "First term of the given sequence is -21<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );