document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221142>Question 221142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show the impossible for three consecutive integers to have a sum that is 200 more than the smallest integer.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165937 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Show the impossible for three consecutive integers to have a sum that is 200 more than the smallest integer.  \r<BR>\n" );
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document.write( "Step 1.  Let n be the integer\r<BR>\n" );
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document.write( "Step 2.  Let n+1 and n+2 be the next two consecutive integer.\r<BR>\n" );
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document.write( "Step 3.  Then n+n+1+n+2=3n+3=3(n+1) be the sum of the three consecutive integers.\r<BR>\n" );
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document.write( "Step 4.  Let 200+n be 200 more than the smallest integer.\r<BR>\n" );
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document.write( "Step 5.  Equate steps 3 and 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28n%2B1%29=n%2B200 ALIGN=MIDDLE  ALT=\"3%28n%2B1%29=n%2B200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%2B3=n%2B200 ALIGN=MIDDLE  ALT=\"3n%2B3=n%2B200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract n+3 from both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%2B3-n-3=n%2B200-n-3 ALIGN=MIDDLE  ALT=\"3n%2B3-n-3=n%2B200-n-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n=197 ALIGN=MIDDLE  ALT=\"2n=197\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 2 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2F2=197%2F2 ALIGN=MIDDLE  ALT=\"2n%2F2=197%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=197%2F2 ALIGN=MIDDLE  ALT=\"n=197%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  This statement does not provide a whole integer n since 197 is odd and not divisible by 2.  \r<BR>\n" );
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document.write( "Step 6.  Note that 197/2 is not a whole number so it's impossible for three consecutive integers to have a sum that is 200 more than the smallest integer.  \r<BR>\n" );
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document.write( "I hope the above steps and explanation were helpful. \r<BR>\n" );
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document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r<BR>\n" );
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document.write( "Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.\r<BR>\n" );
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document.write( "Respectfully, <BR>\n" );
document.write( "Dr J\r<BR>\n" );
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