The Fibonaccit sequence Un} = 1, 1, 2, 3, 5, 8, 13, 2 1, ... is defined recursively by f1 = 1, f2 = 1, fn+2 = fn+l + fn for n = 1, 2, 3, .... Use complete induction to prove that fn < 2n for all positive integers n.

The Fibonaccit sequence Un} = 1, 1, 2, 3, 5, 8, 13, 2 1, ... is defined recursively by f1 = 1, f2 = 1, fn+2 = fn+l + fn for n = 1, 2, 3, .... Use complete induction to prove that fn < 2n for all positive integers n.

Name: The Fibonaccit sequence Un} = 1, 1, 2, 3, 5, 8, 13, 2 1, ... is define
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Description: The Fibonaccit sequence Un} = 1, 1, 2, 3, 5, 8, 13, 2 1, ... is defined recursively by f1 = 1, f2 = 1, fn+2 = fn+l + fn for n = 1, 2, 3, ....Use complete induction to prove that fn < 2n for all positive integers n.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 8RE

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