document.write( "Question 1137875: Given that
\n" ); document.write( "a/b = 1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - 1/8 + 1/9 - 1/10
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Algebra.Com's Answer #755744 by ikleyn(52814) $\"\"$ $\"About$

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document.write( "    1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - 1/8 + 1/9 - 1/10 = \r\n" );
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document.write( "= (10! - 10!/2 + 10!/3 - 10!/4 + 10!/5 - 10!/6 + 10!/7 - 10!/8 + 10!/9 - 10!/10)/10! =  \r\n" );
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document.write( "    = (the following value of the numerator is calculated using Excel) = \r\n" );
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document.write( "= 2342880/(1*2*3*4*5*6*7*8*9*10) = .\r\n" );
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document.write( "The value of \" a \" = 1627.      ANSWER.     (the value of  \" b \" = 2520)\r\n" );
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document.write( "CHECK.  The sum  1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - 1/8 + 1/9 - 1/10   calculated with Excel is  0.645635.\r\n" );
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document.write( "        The ratio   =  = 0.645635  is PRECISELY THE SAME value.\r\n" );
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