Chapter 8.1, Problem 129E

To determine

To find: the first 5 terms of the sequence.

Answer to Problem 129E

First five terms of this sequence are $1,1,2,3,5$ respectively.

Explanation of Solution

Given information:

Given sequence

  $a_n=\frac{{\left(1+\sqrt{5}\right)}^n-{\left(1-\sqrt{5}\right)}^n}{2^n\sqrt{5}}$

Calculation:

Use the table feature of graphing utility to find the first 10 terms of sequence by using following steps:

Press MODE key, select Seq in the fourth line and hit Enter

  

Press $Y=$ and Enter the sequence,

  

Set the table by pressing TBLSET and then press TABLE,

  

Hence,first five terms of this sequence are $1,1,2,3,5$ respectively.