8. Suppose that họ, h1, h2, . is a sequence defined as follows: ho = 1, h1 = 2, h2 = 3, %3D h = hx-1+hx-2+h=3 for each integer k > 3. a. Prove that h, < 3" for every integer n > ). b. Suppose that s is any real number such that s' > s +s+1. (This implies that 2 > s > 1.83.) Prove that h,
8. Suppose that họ, h1, h2, . is a sequence defined as follows: ho = 1, h1 = 2, h2 = 3, %3D h = hx-1+hx-2+h=3 for each integer k > 3. a. Prove that h, < 3" for every integer n > ). b. Suppose that s is any real number such that s' > s +s+1. (This implies that 2 > s > 1.83.) Prove that h,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:8. Suppose that họ, h1, h2, . is a sequence defined
as follows:
ho = 1, h1 = 2, h2 = 3,
%3D
h = hx-1+hx-2+h=3 for each integer k > 3.
a. Prove that h, < 3" for every integer n > ).
b. Suppose that s is any real number such
that s' >
s +s+1. (This implies that
2 > s > 1.83.) Prove that h, <s" for every
integer n 2.
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