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* 63. Let a¡, az» ·… , A, be positive real numbers. The arith- metic mean of these numbers is defined by ... A = (a, +a, + .…· + a,)/n, ... and the geometric mean of these numbers is defined by G = (a¡az .…. a„)\/". Use mathematical induction to prove that A 2 G.

* 63. Let a¡, az» ·… , A, be positive real numbers. The arith- metic mean of these numbers is defined by ... A = (a, +a, + .…· + a,)/n, ... and the geometric mean of these numbers is defined by G = (a¡az .…. a„)\/". Use mathematical induction to prove that A 2 G.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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**63. Let aj, az, ..., a, be positive real numbers. The arith- metic mean of these numbers is defined by A = (a, +a, + …· +a„,)/n, and the geometric mean of these numbers is defined by G= (a,a2 .. a„)'/". Use mathematical induction to prove that A 2 G.
Transcribed Image Text:**63. Let aj, az, ..., a, be positive real numbers. The arith- metic mean of these numbers is defined by A = (a, +a, + …· +a„,)/n, and the geometric mean of these numbers is defined by G= (a,a2 .. a„)'/". Use mathematical induction to prove that A 2 G.
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