   Chapter 13.5, Problem 35E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# SKILLS PlusDiscover and Prove an Inequality Let F n be the nth term of the Fibonacci sequence. Find and prove an inequality relating n and F n for natural numbers n .

To determine

To find:

A valid inequality relating to the n and Fn for natural number n.

Explanation

Given:

Fn is the nth term of the Fibonacci sequence.

Approach:

The Fibonacci numbers F0, F1, F2, are defined as follows

F0=0,

F1=1,

Fn=Fn1+Fn2 (n2)

Here, n denotes natural numbers.

Calculation:

The Fibonacci numbers F0, F1, F2, are defined as follows

F0=0,

F1=1,

Fn=Fn1+Fn2 (n2)

F2=F1+F0=1

F3=F2

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