document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190403>Question 190403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the series in summation notation.  <BR>\n" );
document.write( "1+5+9+13+17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142896 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=142896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice how we're adding 4 to each term to get the next term. So this means that the sequence is arithmetic. Since the series starts at 1, this means that the nth term of the sequence is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a_{n}=4n+1\"> where \"n\" starts at 0\r<BR>\n" );
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document.write( "So the series is simply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \displaystyle \sum_{i=0}^4 4i+1\">\r<BR>\n" );
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document.write( "This means that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \displaystyle \sum_{i=0}^4 4i+1 = 1+5+9+13+17\">\r<BR>\n" );
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document.write( " </SPAN>\n" );
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