Lemma
MediumSequences & series
#1072 · Algebra · Sequences & series

Complete rectangular pile

A complete rectangular pile of shot has 15 layers (courses). The longer side of its base contains 20 shot. Assuming the numbers of shot in successive layers form a harmonic progression, determine the total number of shot in the pile.

~5 minAnswer checked instantlyharmonic progressionrectangular pile

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VI. Harmonical Progression, Examples VI.b, No. 8

Stuck? A gentle nudge
Something off?
Workspace
Your answer
Loading the math keyboard…

Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

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