umbers and q (>0) the first of n harmonic means betwee me numbers. Then prove that a € (p. ("+ 1)² R) and P & (("-1)² n D. D p a

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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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
9 €
P. (1+1),
P,
p and p
(+)*
9, 9
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 9 € P. (1+1), P, p and p (+)* 9, 9
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