Inequalitites

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Last updated 9:02 PM on 6/7/25
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4 Terms

1
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RMS

(a12+a22+.+an2)n\sqrt{\frac{\left(a_{1^{}}^2+a_2^2+.\ldots\ldots+a_{n}^2\right)}{n}}

2
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AM

(a1+a2+.+an)n\frac{\left(a_{1^{}}^{}+a_2^{}+.\ldots\ldots+a_{n}^{}\right)}{n}

3
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GM

(a1a2a3.+an)1n(GM>0)\left(a_1^{}a_2^{}a_3.\ldots\ldots+a_{n}^{}\right)^{\frac{1}{n}}\left(GM>0\right)

4
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HM

n1a1+1a2+1an\frac{n}{\frac{1}{a_1}+\frac{1}{a_2}+\cdots\ldots\frac{1}{a_{n}}}