-w #43 Let n», ², a; >0, 5=1,2,... and a₁ + a₂+...+ an = 1 Prove that a, a ₂ 2-92- + 4 + an 2-an 7 27-1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 27E: Let x and y be in Z, not both zero, then x2+y2Z+.
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Let n>2, a; >0, j-1,2,?
and 9,t9rt.t an =|
ai+az+
Prove th at
an
a,
t.
2n-1
2-an
2-ai
Transcribed Image Text:Let n>2, a; >0, j-1,2,? and 9,t9rt.t an =| ai+az+ Prove th at an a, t. 2n-1 2-an 2-ai
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