#1050 · Algebra · Sequences & series

Harmonical Progression Property

If the $m^{e x t t h}$ term of a harmonic progression is $n$ and the $n^{e x t t h}$ term is $m$ , prove that the $(m + n)^{e x t t h}$ term is $rac{mn}{m+n}$ .

~10 minProof · checked by AIharmonic progressionarithmetic progression

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VI. Harmonical Progression, Examples VI.a, No. 7

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