Lemma
MediumSequences & series
#1075 · Algebra · Sequences & series

Triangular vs square pile

A triangular pile of shot has the same number of layers as a square pile. The number of shot in the triangular pile exceeds half the number of shot in the square pile by 150. Find the number of shot in the lowest layer of the triangular pile.

~6 minAnswer checked instantlyharmonic progressiontriangular pile

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

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).