#837 · Algebra · Sequences & series

Relation among three terms

If the $p^{th}$ , $q^{th}$ , $r^{th}$ terms of an arithmetic progression are $a$ , $b$ , $c$ respectively, show that $(q - r) a + (r - p) b + (p - q) c = 0$ .

~6 minProof · checked by AIarithmetic progressionterm relation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IV. Arithmetical Progression, Examples IV.b, No. 11

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