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 Find 3 geometric mean between 1 and 256 . [ Calculator, Method and examples ]Solution:Your problem -> Find 3 geometric mean between 1 and 256 .Let  a_1, a_2, a_3 be the 3 geometric mean between 1 and 256.:. 1, a_1, a_2, a_3, 256 are in GP .Here First term a = 1 and Last term b = 256Comman ratio r = (b/a)^(1/(n+1)) = (256/1)^(1/4) = 4:. Required Geometic Means, a_1 = a * r = 1 * 4 = 4a_2 = a r^2 = 1 × 4^2 = 16a_3 = a r^3 = 1 × 4^3 = 64

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