document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202468>Question 1202468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate the sum between and including the terms t16 and t53 of an arithmetic sequence with first term 543 and common difference  -  12. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837323 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=837323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Calculate the sum between and including the terms t16 and t53 of an arithmetic sequence with first term 543 and common difference  -  12.\r<BR>\n" );
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document.write( "a= 543<BR>\n" );
document.write( "d= 12\r<BR>\n" );
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document.write( "Sn = n/2(2a+(n-1)d\r<BR>\n" );
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document.write( "Sum of 16 terms\r<BR>\n" );
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document.write( "S16 = 16/2(2*(543)+15*12) =10128\r<BR>\n" );
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document.write( "Sum of 53 terms\r<BR>\n" );
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document.write( "S53 = 53/2(2*543+52*12) =45315\r<BR>\n" );
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document.write( "Find the difference between them\r<BR>\n" );
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document.write( "t16 = a+15d\r<BR>\n" );
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document.write( "t16= 543+15*12=723\r<BR>\n" );
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document.write( "t53 = a+52d\r<BR>\n" );
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document.write( "=543+52*12 =1167\r<BR>\n" );
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document.write( "Sum including these terms t16 and t53<BR>\n" );
document.write( "Think it over<BR>\n" );
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