10) Suppose that r is a fixed constant and ao, a₁, a₂, ... is a sequence that satisfies the recurrence relation ak = rak-1 for all integers k≥ 1 and a = a. Use mathematical induction to prove that an = ar" for all integers n ≥ 0.
10) Suppose that r is a fixed constant and ao, a₁, a₂, ... is a sequence that satisfies the recurrence relation ak = rak-1 for all integers k≥ 1 and a = a. Use mathematical induction to prove that an = ar" for all integers n ≥ 0.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 57EQ
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