#1039 · Algebra · Sequences & series

Arithmetic and geometric mean condition

If the arithmetic mean of two positive numbers $a$ and $b$ is twice their geometric mean, show that $\frac{a}{b} = \frac{2 + 3}{2 - 3}$ .

~7 minProof · checked by AIArithmetic meanGeometric mean

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. V. Geometrical Progression, Examples V.b, No. 18

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