document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=584884>Question 584884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given a term in a arithmetic sequence and the common difference find the explicit formula <BR>\n" );
document.write( "a12=30 d=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372936 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=372936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a[n] = a[1] + (n-1)d\r<BR>\n" );
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document.write( "a[12] = a[1] + (12-1)*6\r<BR>\n" );
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document.write( "30 = a[1] + (12-1)*6\r<BR>\n" );
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document.write( "30 = a[1] + 66\r<BR>\n" );
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document.write( "30-66 = a[1]\r<BR>\n" );
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document.write( "-36 = a[1]\r<BR>\n" );
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document.write( "a[1] = -36\r<BR>\n" );
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document.write( "a[n] = a[1] + (n-1)d\r<BR>\n" );
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document.write( "a[n] = -36 + (n-1)6\r<BR>\n" );
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document.write( "a[n] = -36 + 6n-6\r<BR>\n" );
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document.write( "a[n] = 6n-42\r<BR>\n" );
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document.write( "So the explicit formula for the sequence is <a  rel=nofollow HREF=\"http://www.codecogs.com/eqnedit.php?latex=a_{n} = 6n-42\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?a_{n} = 6n-42\" title=\"a_{n} = 6n-42\" /></a> </SPAN>\n" );
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