Can anyone explain or show how to do this?

Prompt the user to enter a second INTEGER number (num2) from the keyboard where 2≤num2 ≤15 and then determine how many terms in the sequence are necessary to obtain the PHI number with a precision better than 10-num2. That is, compare the absolute difference between the ratio of two consecutive numbers in the sequence (for instance 1/1, 2/1, 3/2, 5/3, 8/5, ….) with the mathematical expression for the PHI number given by to determine the number of terms in the sequence to achieve a precision better than 10-num2. Your program MUST display on the screen the number of terms in the sequence to achieve the desired precision

[Guillaume]

This looks like fairly simple homework. Which bit do you find difficult? What have you done so far?

[Stephen23]

@Brandon Morgan: what have you tried so far?

Answer 1

[Karun Mathiazhagan]

Hello Brandon,

The algorithm should involve evaluating the ratios of the consecutive terms and storing them in a second numeric array. The evaluation must proceed in a loop until the tolerance criterion mentioned is met. One over the size of this final second array can then be displayed after the loop terminates. This will be the number of elements of the original series used in evaluation.

I think the following MATLAB in-built functions might be of use to you:

• input: https://www.mathworks.com/help/matlab/ref/input.html
• disp: https://www.mathworks.com/help/matlab/ref/disp.html