document.write( "Question 1165029: Find the nth term of the harmonic sequence
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Algebra.Com's Answer #789466 by Edwin McCravy(20056)\"\" \"About 
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document.write( "4/5,2/3,4/7,... n=12\r\n" );
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document.write( "First we get the nth term of the reciprocals, \r\n" );
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document.write( "5/4,3/2,7/4,...\r\n" );
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document.write( "which is an arithmetic sequence with first term 5/4 and common difference\r\n" );
document.write( "3/2-5/4 = 6/4-5/4 = 1/4\r\n" );
document.write( "7/4-3/2 = 7/4-6/4 = 1/4\r\n" );
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document.write( "an = a1+(n-1)d\r\n" );
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document.write( "\"a%5Bn%5D=5%2F4%2B%28n-1%29expr%281%2F4%29\"\r\n" );
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document.write( "\"a%5Bn%5D=5%2F4%2Bn%2Aexpr%281%2F4%29-1%2Aexpr%281%2F4%29\"\r\n" );
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document.write( "\"a%5Bn%5D=5%2F4%2Bn%2Aexpr%281%2F4%29-1%2F4\"\r\n" );
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document.write( "\"a%5Bn%5D=4%2F4%2Bexpr%281%2F4%29n\"\r\n" );
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document.write( "\"a%5Bn%5D=%284%2Bn%29%2F4\"\r\n" );
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document.write( "So when n=12\r\n" );
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document.write( "\"a%5Bn%5D=%284%2B12%29%2F4\"\r\n" );
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document.write( "\"a%5Bn%5D=%2816%29%2F4\"\r\n" );
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document.write( "\"a%5Bn%5D=4\"\r\n" );
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document.write( "So the 12th term of the given harmonic sequence is the reciprocal of 4.\r\n" );
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document.write( "Answer:  1/4\r\n" );
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document.write( "-----------------------------\r\n" );
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document.write( "Checking with a TI-84\r\n" );
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document.write( "Type in 4/5 \r\n" );
document.write( "press MATH ENTER ENTER\r\n" );
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document.write( "Type in \r\n" );
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document.write( "(,  2ND, (-), x-1, +, 1, /, 4, ), x-1, MATH, ENTER   \r\n" );
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document.write( "note: the (-) refers to the 'negative' key at the bottom just below the 3.  \r\n" );
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document.write( "Then press ENTER over and over to generate the terms up to the 12th one:\r\n" );
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document.write( "  1   2   3   4   5   6    7   8    9  10   11  12 \r\n" );
document.write( "4/5,2/3,4/7,1/2,4/9,2/5,4/11,1/3,4/13,2/7,4/15,1/4 \r\n" );
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document.write( "Edwin
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