#1051 · Algebra · Sequences & series

Terms of a Harmonical Progression

If the $p^{e x t t h}$ , $q^{e x t t h}$ , and $r^{e x t t h}$ terms of a harmonic progression are $a$ , $b$ , and $c$ respectively, prove that $(q - r) b c + (r - p) c a + (p - q) ab = 0$ .

~12 minProof · checked by AIharmonic progressionalgebraic identity

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VI. Harmonical Progression, Examples VI.a, No. 8

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