document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308365>Question 308365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a question. I have been given to find the 15th term, when I know the 3rd term to be 7 and 20th term to 43. I trying to figure the common difference and the what the 15th term is. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220507 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=220507\">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=an=a1%2B%28n-1%29%2Ad ALIGN=MIDDLE  ALT=\"an=a1%2B%28n-1%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a3=a1%2B%283-1%29%2Ad=a1%2B2d=7 ALIGN=MIDDLE  ALT=\"a3=a1%2B%283-1%29%2Ad=a1%2B2d=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a20=a1%2B%2820-1%29%2Ad=a1%2B19d=43 ALIGN=MIDDLE  ALT=\"a20=a1%2B%2820-1%29%2Ad=a1%2B19d=43\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So now you have two equations with two unknowns.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1%2B2d=7 ALIGN=MIDDLE  ALT=\"a1%2B2d=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1%2B19d=43 ALIGN=MIDDLE  ALT=\"a1%2B19d=43\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can re-arrange both of them,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1=7-2d ALIGN=MIDDLE  ALT=\"a1=7-2d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1=43-19d ALIGN=MIDDLE  ALT=\"a1=43-19d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since they both equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1 ALIGN=MIDDLE  ALT=\"a1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, set them equal to each other and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-2d=43-19d ALIGN=MIDDLE  ALT=\"7-2d=43-19d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17d=36 ALIGN=MIDDLE  ALT=\"17d=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=36%2F17 ALIGN=MIDDLE  ALT=\"d=36%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then use either equation to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1 ALIGN=MIDDLE  ALT=\"a1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1=7-2d ALIGN=MIDDLE  ALT=\"a1=7-2d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1=7-2%2836%2F17%29 ALIGN=MIDDLE  ALT=\"a1=7-2%2836%2F17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1=119%2F17-72%2F17 ALIGN=MIDDLE  ALT=\"a1=119%2F17-72%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1=47%2F17 ALIGN=MIDDLE  ALT=\"a1=47%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then the 15th term would be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a15=47%2F17%2B%2815-1%29%2A%2836%2F17%29 ALIGN=MIDDLE  ALT=\"a15=47%2F17%2B%2815-1%29%2A%2836%2F17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a15=47%2F17%2B504%2F17 ALIGN=MIDDLE  ALT=\"a15=47%2F17%2B504%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a15=551%2F17+ ALIGN=MIDDLE  ALT=\"+a15=551%2F17+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );