6. In this project we will prove that the geometric mean of n numbers is no longer than the arithmetic mean of the numbers. (a) Find the maximum value of f (r1,r2, ...,In) = V2In given that r1, r2,..n are positive numbers and r1 + 2++n = c, where e is a constant. (b) Then deduce that if r1, r2, ..., In are positive numbers, then > "r... TrlxA
6. In this project we will prove that the geometric mean of n numbers is no longer than the arithmetic mean of the numbers. (a) Find the maximum value of f (r1,r2, ...,In) = V2In given that r1, r2,..n are positive numbers and r1 + 2++n = c, where e is a constant. (b) Then deduce that if r1, r2, ..., In are positive numbers, then > "r... TrlxA
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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![6. In this project we will prove that the geometric mean of n numbers is no longer than the
arithmetic mean of the numbers.
(a) Find the maximum value of
f (r1,r2, ...,In) = V2In
given that r1, r2,..n are positive numbers and r1 + 2++n = c, where e is a
constant.
(b) Then deduce that if r1, r2, ..., In are positive numbers, then
> "r... TrlxA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faaf5ffb7-564d-4545-b6a1-101dee930ea8%2Fab28a202-fcd9-408f-805e-62b58ea2f332%2Fewgj7gf.jpeg&w=3840&q=75)
Transcribed Image Text:6. In this project we will prove that the geometric mean of n numbers is no longer than the
arithmetic mean of the numbers.
(a) Find the maximum value of
f (r1,r2, ...,In) = V2In
given that r1, r2,..n are positive numbers and r1 + 2++n = c, where e is a
constant.
(b) Then deduce that if r1, r2, ..., In are positive numbers, then
> "r... TrlxA
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