#1076 · Algebra · Sequences & series
Incomplete square pile
An incomplete square pile of shot has 16 layers. The top layer contains 1005 fewer shot than the bottom layer. Assuming the layers follow a harmonic progression, determine the total number of shot in the pile.
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VI. Harmonical Progression, Examples VI.b, No. 12
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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).