   Chapter 13.1, Problem 76E ### 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

# Comparing a Sequence to the Fibonacci Sequence Define the sequence G n = 1 5 ( ( 1 + 5 ) n − ( 1 − 5 ) n 2 n ) Use the TABLE command on a graphic calculator to find the first ten terms of this sequence. Compare to the Fibonacci sequence F n .

To determine

To compare:

The given sequence to the Fibonacci sequence using a graphing calculator.

Explanation

Given:

The sequence,

Gn=15((1+5)n(15)n2n).

Approach:

• Press Y= and write the sequence in terms of x.

• Press 2ndWINDOW to set the table values.

• Press 2ndGRAPH to find terms of the sequence.

Calculation:

Using a graphing calculator we get the first ten terms of given sequence as shown below.

Figure (1)

Figure (2)

The first ten terms are 1,1,2,3,5,8,13,21,34,55 for n=1,2,3,4,5,6,7,8,9,10 respectively

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