document.write( "Question 1066050: using the proof of induction to prove
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\n" ); document.write( " (summation symbol)E (i+1)i(i-1)=(N/N+1))/2^2 - N(N+1)/2
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Algebra.Com's Answer #681227 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The sum in the left side is equal to the sum of terms  from i = 1 to i = N, \r\n" );
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document.write( "which is the same as the sum of terms  from i = 1 to i = N,\r\n" );
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document.write( "which in turn is the difference  A - B, where\r\n" );
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document.write( "A = sum  from i= 1 to i=N,     (1)\r\n" );
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document.write( "and\r\n" );
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document.write( "B = sum  from i= 1 to i=N.       (2)\r\n" );
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document.write( "Regarding the sum (1) see the lesson \r\n" );
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document.write( "    - Mathematical induction for sequences other than arithmetic or geometric \r\n" );
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document.write( "in this site.\r\n" );
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document.write( "Regarding the sum (2) see the lesson \r\n" );
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document.write( "    - Mathematical induction and arithmetic progressions \r\n" );
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document.write( "in this site.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Method of Mathematical induction\".\r
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