document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041236>Question 1041236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find S24 for the sequence 2,14,...12n-10\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656206 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=656206\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "\"2\" is the first term given in the sequence<BR>\n" );
document.write( "1st term = a1 = 2\r<BR>\n" );
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document.write( "The nth term is 12n-10<BR>\n" );
document.write( "Plug in n = 24 to find the 24th term<BR>\n" );
document.write( "24th term = a24 = 12*24-10 = 278\r<BR>\n" );
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document.write( "Now we use the arithmetic sum formula<BR>\n" );
document.write( "Sn = n*(a1+an)/2<BR>\n" );
document.write( "S24 = 24*(a1+a24)/2<BR>\n" );
document.write( "S24 = 24*(2+278)/2<BR>\n" );
document.write( "S24 = 24*(280)/2<BR>\n" );
document.write( "S24 = 24*140<BR>\n" );
document.write( "S24 = 3360\r<BR>\n" );
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document.write( "The sum of the first 24 terms of the sequence 2,124, ..., 12n-10 is <font color=red>3360</font><BR>\n" );
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