The harmonic series is deceptive.............there are only 8 fractions........that have 1 digit in their denomiator.................they end with 1/9.............the 8th,.8 * 9 = 72.......like the rule of 72 in finance........who long it takes money to double...............7/2 = 3.5..............5/3 = 1.6666.....a golden ratio......an imaginary one.........that goes to infinity......72 is e backwards............e ^ 2......is 7.2....2.7 ^2 is 7.2................reflex sym...........9 ^2 = 81..................9 squared is 81..7919..teh 1000th primes......is 81 from 8000...............8000 is 2000 from 10,000........c a pattern??





19.......like 1/9 + 1/10...1/9..like 9..............1/9th is the 8th fraction of the harmonic series.............and the 9th term........the last single digit denominator........8 fractions in single digits......1 then 8 1 digit fractions.......................................patterns galore........