Harmonically progressive terms

Algebra Level 4

Let \(a_1,a_2,a_3, \ldots \) be in a harmonic progression with \(a_1=5\) and \(a_{20}=25\). Find the least positive integer \(n\) for which \(a_n<0\).


You can try my other Sequences And Series problems by clicking here : Part II and here : Part I.
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