document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503514>Question 503514</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of (1+1/2)(1+1/3)(1+1/4)...(1+1/2011)? choose the answer and explain the reason to choose your response<BR>\n" );
document.write( " 1005 <BR>\n" );
document.write( "2011<BR>\n" );
document.write( " 1006<BR>\n" );
document.write( " 2012  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339281 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=339281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1+1/2)(1+1/3)(1+1/4)(1+1/5)(1+1/6)...(1+1/2011)\r<BR>\n" );
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document.write( "(2/2+1/2)(3/3+1/3)(4/4+1/4)(5/5+1/5)(6/6+1/6)...(2011/2011+1/2011)\r<BR>\n" );
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document.write( "(3/2)(4/3)(5/4)(6/5)(7/6)...(2012/2011)\r<BR>\n" );
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document.write( "Notice in the last step, there's a 3 in the first numerator and a 3 in the second denominator. These terms will cancel. Also, there's a 4 in the second numerator and a 4 in the third denominator. These terms will cancel too. The basic pattern is that any given numerator will cancel with the the denominator in the next fraction\r<BR>\n" );
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document.write( "All this cancelling leaves us with \r<BR>\n" );
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document.write( "(1/2)(1/1)(1/1)(1/1)(1/1)...(2012/1)\r<BR>\n" );
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document.write( "which collapses to (1/2)(2012/1) and that multiplies and simplifies to 2012/2 = 1006\r<BR>\n" );
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document.write( "So the answer is choice C\r<BR>\n" );
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document.write( "If you need more help, feel free to email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a><BR>\n" );
document.write( "or you can visit my website here: <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">http://www.freewebs.com/jimthompson5910/home.html</a>\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Jim  </SPAN>\n" );
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