document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=744368>Question 744368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an arithmetic series s6 = 162 and t6 = 47. What is the common difference for the terms in this series? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453289 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=453289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In an arithmetic series s6 = 162 and t6 = 47. <BR>\n" );
document.write( "What is the common difference for the terms in this series?<BR>\n" );
document.write( "t(6) = a + 6d = 47<BR>\n" );
document.write( "------<BR>\n" );
document.write( "s(6) = (a+47)/2 = 162<BR>\n" );
document.write( "a + 47 = 324<BR>\n" );
document.write( "a(1) = 277<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"d\":<BR>\n" );
document.write( "277 + 6d = 47<BR>\n" );
document.write( "6d = -230<BR>\n" );
document.write( "d = -38 1/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );