# arithmetic-geometric mean

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## arithmetic-geometric mean

[¦a·rith¦med·ik ‚jē·ə¦me·trik ′mēn] (mathematics)

For two positive numbers

*a*_{1}and*b*_{1}, the common limit of the sequences {*a*} and {_{n}*b*} defined recursively by the equations_{n}*a*_{n + 1}= ½(*a*+_{n}*b*) and_{n}*b*_{n + 1}= (*a*)_{n}b_{n}^{½}.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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