umbers and q (> 0) the first of n harmonic means between the me numbers. Then prove that

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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Let p (> 0) be the first of the n arithmetic means between two
numbers and q (> 0) the first of n harmonic means between the
same numbers. Then prove that
P. (1+1)*
n-1
qp,
p and p
(*)
9,9
n+1
Transcribed Image Text:Let p (> 0) be the first of the n arithmetic means between two numbers and q (> 0) the first of n harmonic means between the same numbers. Then prove that P. (1+1)* n-1 qp, p and p (*) 9,9 n+1
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