Suppose that ho, hị, h2, . is a sequence defined as follows: ho = 1, h1 = 2, h2 = 3, %3D hy = hy-1+hg-2+ hỵ-3 for each integer k> 3. a. Prove that h, < 3" for every integer n 20.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 42E
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8. Suppose that ho, hị, h2, . . is a sequence defined
as follows:
họ = 1, h = 2, h = 3,
hx = hg-1+hx-2+ hỵ-3
for each integer k> 3.
a. Prove that h, < 3" for every integer n 2 0.
Transcribed Image Text:8. Suppose that ho, hị, h2, . . is a sequence defined as follows: họ = 1, h = 2, h = 3, hx = hg-1+hx-2+ hỵ-3 for each integer k> 3. a. Prove that h, < 3" for every integer n 2 0.
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