document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844013>Question 844013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the 3 terms of an A.P is 9 and the sum of the next 2 terms is 16.List the first 6 terms   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508479 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=508479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of the 3 terms of an A.P is 9 and the sum of the next 2 terms is 16.List the first 6 terms 5<BR>\n" );
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document.write( "S(3) = (3/2)(a + (a+2d)) = 9<BR>\n" );
document.write( "D(5) = (5/2)(a + (a+4d)) = 9+16<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "3(2a+2d) = 18<BR>\n" );
document.write( "5(2a+4d) = 50<BR>\n" );
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document.write( "2a+2d = 6<BR>\n" );
document.write( "2a+4d = 10<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2d = 4<BR>\n" );
document.write( "d = 2<BR>\n" );
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document.write( "Sequence:: 1,3,5,7,9,11<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Solve for \"a\":<BR>\n" );
document.write( "a + d = 3<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "------\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );