document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=808600>Question 808600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an arithmetic sequence the seventh term is 9 times the first and the fourth<BR>\n" );
document.write( "term is less than the fifth term by 4: Find the first term and the common<BR>\n" );
document.write( "difference. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #487093 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=487093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In an arithmetic sequence the seventh term is 9 times the first and the fourth<BR>\n" );
document.write( "term is less than the fifth term by 4: Find the first term and the common<BR>\n" );
document.write( "difference.\r<BR>\n" );
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document.write( "tn = a+(n-1)d\r<BR>\n" );
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document.write( "t7=a+6d\r<BR>\n" );
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document.write( "a+6d = 9a\r<BR>\n" );
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document.write( "8a=6d<BR>\n" );
document.write( "4a=3d\r<BR>\n" );
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document.write( "---<BR>\n" );
document.write( "T4 = a+3d<BR>\n" );
document.write( "t5=a+4d\r<BR>\n" );
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document.write( "a+4d-(a+3d)=4<BR>\n" );
document.write( "a+4d-a-3d=4<BR>\n" );
document.write( "d=4\r<BR>\n" );
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document.write( "4a=3d<BR>\n" );
document.write( "d=4<BR>\n" );
document.write( "4a=12<BR>\n" );
document.write( "a=3\r<BR>\n" );
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document.write( "a=3, d=4\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );