Lemma
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#1073 · Algebra · Sequences & series

Incomplete rectangular pile

An incomplete rectangular pile of shot has its upper layer with 11 shot along one side and 18 shot along the other side. The shorter side of the lowest layer contains 30 shot. Assuming the layers follow a harmonic progression, find the total number of shot in the pile.

~6 minAnswer checked instantlyharmonic progressionrectangular pile

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VI. Harmonical Progression, Examples VI.b, No. 9

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