document.write( "Question 1186693: Find the sum of the series 15/42+15/56+15/72+15/90+…+15/9900 \n" ); document.write( "

Algebra.Com's Answer #817641 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Find the sum of the series 15/42+15/56+15/72+15/90+…+15/9900
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document.write( "The series is 15 times  S = \r\n" );
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document.write( "Each addend in the sum S is\r\n" );
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document.write( "     =          (1)\r\n" );
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document.write( "     =        \r\n" );
document.write( "    \r\n" );
document.write( "     = \r\n" );
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document.write( "     = \r\n" );
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document.write( "       . . . and so on . . . \r\n" );
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document.write( "     =      (last)\r\n" );
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document.write( "The pattern is clear.\r\n" );
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document.write( "When you add the lines from (1) to the (last),  all  intermediate terms with opposite signs will cancel each other, \r\n" );
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document.write( "leaving only   =  = .\r\n" );
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document.write( "So the ANSWER to the problem's question is   =  =  = 2.35.\r\n" );
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