#1074 · Algebra · Sequences & series
Complete rectangular pile from top
A rectangular pile of shot has 15 layers. The upper layer contains 15 shot along its longer side and 6 shot along its shorter side. Assuming a harmonic progression of shot numbers across layers, how many additional shot are required to complete the pile (i.e., the total number of shot in the whole pile)?
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VI. Harmonical Progression, Examples VI.b, No. 10
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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).