* 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadd5b56d-97e3-4d3c-9aa9-5b563ad77377%2F19ebd0b3-0887-4db6-b9c3-205aac8747fe%2Ftac359t_processed.png&w=3840&q=75)
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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