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What is the geometric mean of 5,5^2, ….,5^n?(a) 5^n/2(b) 5^(n+1)/2(c) 5^n(n+1)/2(d) 5^nThis question was addressed to me at a job interview.This intriguing question comes from Statistics in section Statistics of Mathematics – Class 11 |
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Answer» RIGHT choice is (B) 5^(n+1)/2 Explanation: Geometric Mean = (5 X 5^2 x …… x 5^n)^1/n = [5^(1+2+…+n)]^1/n = [5^n(n+1)/2]^1/n = 5^(n+1)/2. |
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