Is there any relationship between the sum of positive numbers and the sum of the reciprocals of the same numbers? For example:
$A=1+2+3.5$ and $B=1+1/2+ 10/35$
Thanks!
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You can get a minimum value of $B$ in terms of $A$. but $B$ can be any value above that minimum. – Thomas Andrews Jan 23 '14 at 00:30
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Do you know how many terms there are in the sum? – John Jan 23 '14 at 00:39
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1A is n times the arithmetic mean, and B is the number of terms divided through the harmonic mean. – Lucian Jan 23 '14 at 00:41
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There are N terms in the sum. – Paulo Jan 23 '14 at 01:54