Harmonically progressive terms

Algebra Level 5

Let a1,a2,a3,a_1,a_2,a_3, \ldots be in a harmonic progression with a1=5a_1=5 and a20=25a_{20}=25. Find the least positive integer nn for which an<0a_n<0.


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