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\n" ); document.write( "The post does not specify the number of harmonic means.
\n" ); document.write( "But inserting harmonic means between two given numbers is a simple process, performed as follows:
\n" ); document.write( "(1) take the reciprocals of the two given numbers;
\n" ); document.write( "(2) insert the specified number of ARITHMETIC means between those two numbers; and
\n" ); document.write( "(3) take the reciprocals of those arithmetic means to get the harmonic means
\n" ); document.write( "The reciprocals of the two given numbers are 2/5 and 27/5; the difference between those two numbers is 25/5 = 5. So one easy problem is to divide that difference into 5 equal parts, which means inserting 4 arithmetic means:
\n" ); document.write( "2/5, 7/5, 12/5, 17/5, 22/5, 27/5
\n" ); document.write( "Then the harmonic sequence is with the reciprocal of those numbers:
\n" ); document.write( "5/2, 5/7, 5/12, 5/17, 5/22, 5/27
\n" ); document.write( "So if the problem was to insert 4 harmonic means between the two given numbers, then those 4 harmonic means are
\n" ); document.write( "5/7, 5/12, 5/17, and 5/22
\n" ); document.write( "If the specified number of harmonic means was not 4, then a similar process would be followed -- but the numbers would not be as \"nice\".
\n" ); document.write( " \n" ); document.write( "