document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870008>Question 870008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms of the sequence is-165.find the 18th 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 #524627 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=524627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms of the sequence is-165.find the 18th term of the sequence\r<BR>\n" );
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document.write( "S10=-60<BR>\n" );
document.write( "S15=-165\r<BR>\n" );
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document.write( "S18=?\r<BR>\n" );
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document.write( "Sn = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2F2%29%282a%2B%28n-1%29d%29 ALIGN=MIDDLE  ALT=\"%28n%2F2%29%282a%2B%28n-1%29d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "S10-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2F2%29%282a%2B9d%29 ALIGN=MIDDLE  ALT=\"%2810%2F2%29%282a%2B9d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-60= 10a+45d..............(1)\r<BR>\n" );
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document.write( "S15 = (15/2)(2a+14d)<BR>\n" );
document.write( "-165=(15/2)(2a+14d)<BR>\n" );
document.write( "-330 =30a+210d.............(2)\r<BR>\n" );
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document.write( "d=	common difference							<BR>\n" );
document.write( "a=	first term							<BR>\n" );
document.write( " 								<BR>\n" );
document.write( "45	d	+	10	a	=	-60	.............1	<BR>\n" );
document.write( "Total value								<BR>\n" );
document.write( "210	d	+	30	a	=	-330	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		-3						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "-135	d		-30	a	=	180		<BR>\n" );
document.write( "210	d	+	30	a	=	-330		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "75	d				=	-150		<BR>\n" );
document.write( "/	75							<BR>\n" );
document.write( "d	=	-2.00						<BR>\n" );
document.write( "plug value of			d	in (1)				<BR>\n" );
document.write( "45	d	+	10	a	=	-60		<BR>\n" );
document.write( "-90		+	10	a	=	-60		<BR>\n" );
document.write( "			10	a	=	-60	+	90<BR>\n" );
document.write( "			10	a	=	30		<BR>\n" );
document.write( "				a	=	3		<BR>\n" );
document.write( "d=	-2		common difference					<BR>\n" );
document.write( "a=	3		first term					<BR>\n" );
document.write( "m.ananth@hotmail.ca								<BR>\n" );
document.write( " </SPAN>\n" );
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