# Harmonically progressive terms

Algebra Level 5

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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