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Let 0 < a < 1 be a real number. Define a₁ = 1 + a, Prove that VnEN, 1 ≤n, an+1 = 1 < an 1 an + a, 1- <- a n> 1

Let 0 < a < 1 be a real number. Define a₁ = 1 + a, Prove that VnEN, 1 ≤n, an+1 = 1 < an 1 an + a, 1- <- a n> 1

Advanced Engineering Mathematics
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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Let 0 < a < 1 be a real number. Define a₁ = 1+ a, Prove that VnEN, 1 ≤n, an+1 1 < an < 1 an + A, 1 1-a n> 1
Transcribed Image Text:Let 0 < a < 1 be a real number. Define a₁ = 1+ a, Prove that VnEN, 1 ≤n, an+1 1 < an < 1 an + A, 1 1-a n> 1
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