Lemma
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#1069 · Algebra · Sequences & series

Incomplete square pyramid with given courses

An incomplete square pyramid consists of 27 layers (courses) and has 40 balls along each edge of the base. Find the total number of balls in the pyramid.

~5 minAnswer checked instantlypartial square pyramidal numbers

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VI. Harmonical Progression, Examples VI.b, No. 5

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