2. Let xn be a sequence of real numbers defined as x₁ = 1.5 and xn+1 = 1+1 for n > 1. Use the Principle of Mathematical Induction to show that 1 < x < 2 for all n ≥ 1. Ꮖ n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 30E
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2.
Let xn be a sequence of real numbers defined as x₁ = 1.5 and xn+1 = 1+1 for n > 1.
Use the Principle of Mathematical Induction to show that 1 < x < 2 for all n ≥ 1.
Ꮖ n
Transcribed Image Text:2. Let xn be a sequence of real numbers defined as x₁ = 1.5 and xn+1 = 1+1 for n > 1. Use the Principle of Mathematical Induction to show that 1 < x < 2 for all n ≥ 1. Ꮖ n
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