document.write( "Question 1143446: Harmonic sequence:\r
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\n" ); document.write( "\n" ); document.write( "What is the next term in the harmonic sequence 1/11,1/15,1/19,1/23,...? With solution\r
\n" ); document.write( "\n" ); document.write( "What is the nth term of the harmonic sequence 1/2,1/4,1/6,1/8 with solution \n" ); document.write( "
Algebra.Com's Answer #764262 by Edwin McCravy(20060)\"\" \"About 
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Harmonic sequence:\r\n" );
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document.write( "2,2/3,2/5,2/7 with solution \r\n" );
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document.write( "A harmonic sequence is the sequence of reciprocals of the terms of\r\n" );
document.write( "an arithmetic sequence.\r\n" );
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document.write( "So we make the corresponding arithmetic sequence by taking reciprocals\r\n" );
document.write( "of the terms:\r\n" );
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document.write( "1/2, 3/2, 5/2, 7/2, which has a1 = 1/2, and d = 2/2 or 1\r\n" );
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document.write( "If has nth term an=a1+(n-1)d\r\n" );
document.write( "                an=1/2+(n-1)(1)\r\n" );
document.write( "                an=1/2+n-1\r\n" );
document.write( "                an=n-1/2\r\n" );
document.write( "                an=2n/n-1/n\r\n" );
document.write( "                an=(2n-1)/n\r\n" );
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document.write( "So the nth term of the original harmonic sequence is the reciprocal of that:\r\n" );
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document.write( "                an=n/(2n-1)\r\n" );
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document.write( "-------------------\r\n" );
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document.write( "For the others, form the corresponding arithmetic sequence, and proceed as \r\n" );
document.write( "above.\r\n" );
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document.write( "Edwin
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