document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041160>Question 1041160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the sum of this arithmetic series? \r<BR>\n" );
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document.write( "A.) 25<BR>\n" );
document.write( "B.) 126<BR>\n" );
document.write( "C.) 133<BR>\n" );
document.write( "D.) 119\r<BR>\n" );
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document.write( "Please & TY! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656084 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=656084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3>\r<BR>\n" );
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document.write( "We will use the following rules for summations\r<BR>\n" );
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document.write( "Rule 1:<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{n=1}^{k}(a+b) = \sum_{n=1}^{k}(a)+\sum_{n=1}^{k}(b) \">\r<BR>\n" );
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document.write( "Rule 2: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{n=1}^{k}(c*a) = c*\sum_{n=1}^{k}(a) \">\r<BR>\n" );
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document.write( "Rule 3: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{n=1}^{k}(n) = \frac{k*(1+k)}{2}\">\r<BR>\n" );
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document.write( "Rule 4: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{n=1}^{k}(c) = k*c\">\r<BR>\n" );
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document.write( "where c is a constant\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{n=1}^{7}(2n+11)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{n=1}^{7}(2n)+\sum_{n=1}^{7}(11)\"> Use rule 1 (shown above)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2*\sum_{n=1}^{7}(n)+\sum_{n=1}^{7}(11)\"> Use rule 2 (shown above)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2*\frac{7*(1+7)}{2}+\sum_{n=1}^{7}(11)\">  Use rule 3 (shown above)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2*\frac{7*(1+7)}{2}+7*11\"> Use rule 4 (shown above)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2*\frac{7*8}{2}+7*11\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2*\frac{56}{2}+7*11\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2*28+7*11\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 56+77\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 133\">\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{n=1}^{7}(2n+11) = 133\">\r<BR>\n" );
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document.write( "The final answer is <font color=red size=5>133</font>\r<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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