document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187638>Question 1187638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> T3=24 T6=60<BR>\n" );
document.write( "FIND THE COMMON DIFF AND THE FIRST TERM (a) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818640 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> without going through the formula, you can find the common difference in the following manner.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you are given that A3 = 24 and A6 = 60.<BR>\n" );
document.write( "6 - 3 = 3<BR>\n" );
document.write( "60 - 24 = 36<BR>\n" );
document.write( "36/3 = 12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your common difference is 12.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your first term is A1.<BR>\n" );
document.write( "A3 - A1 = 2<BR>\n" );
document.write( "24 - 2*12 = 24 - 24 = 0<BR>\n" );
document.write( "A1 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A6 - A1 = 5<BR>\n" );
document.write( "60 - 5*12 = 60 - 60 = 0<BR>\n" );
document.write( "A1 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the common difference is 12.<BR>\n" );
document.write( "your first term is 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if you wish to use the formula to solve for this, do the followng.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the formula is An = A1 + (n-1) * d\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this makes:<BR>\n" );
document.write( "24 = A1 + 2 * d<BR>\n" );
document.write( "60 = A1 + 5 * d\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract the first equation from the first to get:<BR>\n" );
document.write( "36 = 3 * d<BR>\n" );
document.write( "solve for d to get d = 12.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "go to either one of the formulas and replace d with 12.<BR>\n" );
document.write( "24 = A1 + 24<BR>\n" );
document.write( "solve for A1 to get A1 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "do the same thing with A6 and you get A1 = 0 as well, as you should, since A1 is the same in both formulas.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );