strong induction ICt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 28E
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6) Let tn be a sequence defined as follows:
a.
to = 5
b. t1=12,
C. tn= 5tn-1- 6tn-2 for n > 2
Using strong induction on n with 2 base cases, prove that for non-negative integers n,
tn= 3(2") + 2(3")
Transcribed Image Text:6) Let tn be a sequence defined as follows: a. to = 5 b. t1=12, C. tn= 5tn-1- 6tn-2 for n > 2 Using strong induction on n with 2 base cases, prove that for non-negative integers n, tn= 3(2") + 2(3")
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