document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=349208>Question 349208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The least integer of a set of consecutive integers is minus 25. If the sum of these integers is 26, how many integers are in this set?\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249708 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=249708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order for the sum of all these integers to be a positive 26 we must have enough positive integers to cancel out all the negative integers plus enough other positive integers to add up to 26. With a like thought we will realize that<BR>\n" );
document.write( "1 will cancel out -1<BR>\n" );
document.write( "2 will cancel out -2<BR>\n" );
document.write( "3 will cancel out -3<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "25 will cancel out -25<BR>\n" );
document.write( "So the consecutive integers from -25 to 25 will add up to zero! The next integer, 26, will bring the grand total up to 26!<br><BR>\n" );
document.write( "So to get a sum of 26 we have<BR>\n" );
document.write( "-25 to -1: 25 integers<BR>\n" );
document.write( "1 to 26: 26 integers<BR>\n" );
document.write( "and don't forget 0: 1 integer.<BR>\n" );
document.write( "This makes a total of 52 consecutive integers from -25 to 26. </SPAN>\n" );
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