document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=772378>Question 772378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The given consecutive integers are 4,5, and 6. If I square the 2nd integer, the answer will be 25. Then, if I multiply the 1st and 3rd integer, the answer will be 24, Which is 1 number less that the squared integer. That happens every time I do the same method in consecutive integers. How is that possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #470819 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=470819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Interesting question!<BR>\n" );
document.write( "Try to generalize and try the same process.\r<BR>\n" );
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document.write( "Three consecutive integers, n, n+1, n+2.\r<BR>\n" );
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document.write( "SQUARE THE SECOND INTEGER.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B2n%2B1 ALIGN=MIDDLE  ALT=\"n%5E2%2B2n%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "MULTIPLY THE FIRST AND THIRD INTEGERS.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B2n ALIGN=MIDDLE  ALT=\"n%5E2%2B2n\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "FIND THE DIFFERENCE BETWEEN THOSE TWO RESULTS.<BR>\n" );
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document.write( "n can be ANY integer.  The process will still work. </SPAN>\n" );
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