document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=684177>Question 684177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if 5th term of an AP is equal to 19 times the 19th term show that the 24th term of an AP is zero </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424000 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=424000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if 5th term of an AP is equal to 19 times the 19th term show that the 24th term of an AP is zero\r<BR>\n" );
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document.write( "I think the problem should be\r<BR>\n" );
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document.write( "if 5 times the 5th term of an AP is equal to 19 times the 19th term show that the 24th term of an AP is zero\r<BR>\n" );
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document.write( "T5 = a+4d<BR>\n" );
document.write( "t19= a+18d\r<BR>\n" );
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document.write( "5(a+4d)=19(a+18d)	<BR>\n" );
document.write( "	<BR>\n" );
document.write( "5a +20d=19a+342d	<BR>\n" );
document.write( "	<BR>\n" );
document.write( "14a+322d=0	<BR>\n" );
document.write( "	<BR>\n" );
document.write( "14(a+23d)=0<BR>\n" );
document.write( "a+23d=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( ".	<BR>\n" );
document.write( "	<BR>\n" );
document.write( "t24= a+23d	<BR>\n" );
document.write( " But a+23d=0\r<BR>\n" );
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document.write( "therefore	<BR>\n" );
document.write( "T24=0	<BR>\n" );
document.write( " </SPAN>\n" );
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