#1022 · Algebra · Sequences & series

Infinite GP from sum and sum of cubes

An infinite geometric progression has sum $4$ and the sum of the cubes of its terms is $192$ . Determine the progression.

~7 minAnswer checked instantlyInfinite geometric seriesSeries of powers

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. V. Geometrical Progression, Examples V.a, No. 28

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