document.write( "Question 1057149: If An=1/n(n+1) for all positive integer n, What is the sum of the first 100 elements of An? \n" ); document.write( "

Algebra.Com's Answer #672228 by ikleyn(52848) $\"\"$ $\"About$

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\n" ); document.write( "If An=1/n(n+1) for all positive integer n, What is the sum of the first 100 elements of An?
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document.write( " = .   (1)\r\n" );
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document.write( "Each term  is the difference of two terms\r\n" );
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document.write( " = .\r\n" );
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document.write( "If you replace each term in the sum (1) by the correcsponding difference and cancel all adjacent terms with opposite signs, you will get\r\n" );
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document.write( " = 1 - .\r\n" );
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document.write( "At n = 100,   = .\r\n" );
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document.write( "Answer.   = .\r\n" );
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