document.write( "Question 987057: I'm sorry for asking this again but the way I typed this up the last time was quite confusing.\r
\n" ); document.write( "\n" ); document.write( "Use mathematical induction to prove that the following is true for every positive integer n:
\n" ); document.write( "1/4+2*1/4+4*1/4+...+[2(n-1)+1/4]=4n^2-3n/4\r
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Algebra.Com's Answer #607829 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "But the 2nd and 3rd terms are still wrong!\r\n" );
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document.write( "They must be what you get when you substitute n=2 and n=3 into\r\n" );
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document.write( "the general term [2(n-1)+1/4]\r\n" );
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document.write( "But watch what happens when you substitute n=2 into [2(n-1)+1/4]\r\n" );
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document.write( "You get \r\n" );
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document.write( "[2(2-1)+1/4] = [2(1)+1/4] = [2+1/4] = [8/4+1/4] = 9/4 and 9/4 is NOT 2*1/4\r\n" );
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document.write( "See?\r\n" );
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document.write( "Also watch what happens when you substitute n=3 into [2(n-1)+1/4]\r\n" );
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document.write( "You get \r\n" );
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document.write( "[2(3-1)+1/4] = [2(2)+1/4] = [4+1/4] = [16/4+1/4] = 17/4 and 17/4 is NOT 4*1/4.\r\n" );
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document.write( "The sequence is botched.  The induction proof I gave you is correct.\r\n" );
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document.write( "Edwin

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