#1071 · Algebra · Sequences & series
Shot count in square pile
A square pile of shot has 169 shot in its top layer and 1089 shot in its bottom layer. Assuming the layers form a harmonic progression, find 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. 7
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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).