Consider the followin sequence {any defined by the following recursive formala 9₁ = 2₁ an+1 = 1/2 (an +6) VREN use PMI to prove that Unein 2 ≤an ≤ 6 VEN

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 26E
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Question
Consider
the followin
sequence
{any defined by the following
recursive formala
9₁ = 2₁ an+1 = 1/2 (an +6) VREN
use PMI to prove that
Unein
2 ≤an ≤ 6 VEN
Transcribed Image Text:Consider the followin sequence {any defined by the following recursive formala 9₁ = 2₁ an+1 = 1/2 (an +6) VREN use PMI to prove that Unein 2 ≤an ≤ 6 VEN
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