Answers

2016-07-27T16:45:55+08:00
The corresponding arithmetic sequence is the reciprocals of the terms of the harmonic sequence thus: -8, -3, 2, ...
in this arithmetic sequence the a1 = -8 and the common difference is -5
any term in an AS will follow an = a1 + (n-1)d
hence                                    37 = -8 + (n-1)(5)
                                           +   8 = +8 
                                              45 = 5(n-1)           dividing both equation by 5
                                                9 = n - 1             adding 1 on both sides
                                              10 = n
therefore 1/37 is the tenth term of the harmonic sequence
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