document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025964>Question 1025964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many consecutive integers beginning with 5 must be taken for the sum to equal 95.<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 #641223 by </B><A HREF=/tutors/aboutme.mpl?userid=FrankM><B>FrankM(1040)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=FrankM><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=FrankM><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The series has N terms. The first term is 5, the last term is 5+(N-1) which simplifies to N+4\r<BR>\n" );
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document.write( "The sum of a series of consecutive integers is N/2 (first term +last term) so we have \r<BR>\n" );
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document.write( "(N)(5+(N+4))/2=95\r<BR>\n" );
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document.write( "(N)(N+9)=190\r<BR>\n" );
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document.write( "N^2+9N-190=0\r<BR>\n" );
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document.write( "(N-10)(N+19)=0\r<BR>\n" );
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document.write( "N=10\r<BR>\n" );
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document.write( "10 terms 5 thru 14 add to 95 </SPAN>\n" );
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