document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191491>Question 1191491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 400 more than the sum of p consecutive integers is equal to the sum of the next p consecutive integers, what is the value of p? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823289 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If you have p consecutive integers and then you have the following p consecutive integers, then each integer in the second set is p more than the corresponding integer in the first set.<br><BR>\n" );
document.write( "So the difference between the sum of the p integers in the second set and the sum of the p integers in the first set is p times p, which is p squared.<br><BR>\n" );
document.write( "Give that that difference is 400, we have p^2=400 so p=20.<br><BR>\n" );
document.write( "ANSWER: 20<br><BR>\n" );
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