document.write( "Question 983173: Find the 9th term of the harmonic sequence
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Algebra.Com's Answer #603974 by Edwin McCravy(20056)\"\" \"About 
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Find the 9th term of the harmonic sequence
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document.write( "Get their reciprocals:\r\n" );
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document.write( "\"2%2F3\",\"2%2F1\",\"10%2F3\",\"14%2F3\",... n=9\r\n" );
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document.write( "If we write the \"2%2F1\" with a 3 denominator, as \"6%2F3\"\r\n" );
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document.write( "we can see the arithmetic sequence which the reciprocals form:\r\n" );
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document.write( "\"2%2F3\",\"6%2F3\",\"10%2F3\",\"14%2F3\",... n=9\r\n" );
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document.write( "Extend it to 9 terms by adding common ratio \"4%2F3\" each time:\r\n" );
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document.write( "\"2%2F3\",\"6%2F3\",\"10%2F3\",\"14%2F3\",\"18%2F3\",\"22%2F3\",\"26%2F3\",\"30%2F3\",\"34%2F3\"\r\n" );
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document.write( "Reduce all the fraction that will reduce:\r\n" );
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document.write( "\"2%2F3\",\"2%2F1\",\"10%2F3\",\"14%2F3\",\"6%2F1\",\"22%2F3\",\"26%2F3\",\"10%2F1\",\"34%2F3\"\r\n" );
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document.write( "Take the reciprocals:\r\n" );
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document.write( "\"3%2F2\",\"1%2F2\",\"3%2F10\",\"3%2F14\",\"1%2F6\",\"3%2F22\",\"3%2F26\",\"1%2F10\",\"3%2F34\"\r\n" );
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document.write( "9th term is \"3%2F34\"\r\n" );
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document.write( "Edwin
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