document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838144>Question 838144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine the arithmetic series given S4 = 26 s5= 42 and s6 = 57 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #504870 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=504870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> S4 = 26 s5= 42 and s6 = 57\r<BR>\n" );
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document.write( "S5-S4=T5 <BR>\n" );
document.write( "T5=42-26=16\r<BR>\n" );
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document.write( "S6-S5=T6<BR>\n" );
document.write( "T6= 57-42=14\r<BR>\n" );
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document.write( "T5=16, T6=14\r<BR>\n" );
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document.write( "T6-T5= = d the common difference\r<BR>\n" );
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document.write( "=-2\r<BR>\n" );
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document.write( "Tn = a+(n-1)*d\r<BR>\n" );
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document.write( "T6= 14\r<BR>\n" );
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document.write( "14= a+(6-1)*-2\r<BR>\n" );
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document.write( "14=a-10\r<BR>\n" );
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document.write( "a=14+10<BR>\n" );
document.write( "a=24\r<BR>\n" );
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document.write( "a= 24 d=-2\r<BR>\n" );
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document.write( "so the series is 24,22,20,18,16,14,12,.......\r<BR>\n" );
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document.write( " </SPAN>\n" );
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