#1032 · Algebra · Sequences & series
Three numbers in geometric progression
The sum of three numbers in G. P. is 70; if the two extremes be multiplied each by 4, and the mean by 5, the products are in A. P.; find the numbers.
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. V. Geometrical Progression, Examples V.b, No. 10
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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).