(c) Use the Binomial Theorem to prove that η (54) T 5n 1+ ΛΙ 53 25 - 8 25n for n ≥ 1.

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 17EQ
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(c) Use the Binomial Theorem to prove that
4
53 8
5n
25
1+
E =
n
3-
>
-
(d) Determine the least upper bound of the set
8
n³
25n'
for n ≥ 1.
: n = 1, 2,
..}.
Transcribed Image Text:(c) Use the Binomial Theorem to prove that 4 53 8 5n 25 1+ E = n 3- > - (d) Determine the least upper bound of the set 8 n³ 25n' for n ≥ 1. : n = 1, 2, ..}.
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