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Classroom note: Using the binomial series to prove the arithmetic mean–geometric mean inequality |
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| Authors: | Ronald L Persky |
| Institution: | Department of Mathematics , Christopher Newport University , Newport News, Virginia 23606-2998, USA E-mail: rpersky@pcs.cnu.edu |
| Abstract: | In 1968, Leon Gerber compared (1 + x) a to its kth partial sum as a binomial series. His result is stated and, as an application of this result, a proof of the arithmetic mean–geometric mean inequality is presented. |
| Keywords: | linear differential equations initial conditions form and function of the graph socio-epistemology redefinition |