The Bowman sequence is an integer sequence calculated by adding the previous 3 n

ID: 1994329 • Letter: T

Question

The Bowman sequence is an integer sequence calculated by adding the previous 3 numbers

together to calculate the next value. This is represented mathematically by saying that Fn =

Fn1 + Fn2 + Fn3 (where Fn is the nth value in the sequence, F). For example, a Bowman

sequence of length 8 will be:

0 1 2 3 6 11 20 37

Note that this sequence always starts with the underlined values (0,1,2).

Write a MATLAB program that will:

a) Request the user for the length of the desired Bowman sequence to generate.

b) Display an error message and terminate if the input is invalid (for example, -8).

c) Return an array containing the Bowman sequence of the input length if the input is valid.

clc;

clear all;

close all;

prompt = 'Enter Length of Bowman sequence : '; % Asking user enter length of the series

B_Length= input(prompt);

Bowman=[0 1 2];

if B_Length<=0

fprintf(' Invalid Input. ');

else

for i=4:1:B_Length

Bowman(i)=Bowman(i-1)+Bowman(i-2)+Bowman(i-3);

end

fprintf(' Bowman sequence of length %d given by ',B_Length);

Bowman

end

OUTPUT:

Enter Length of Bowman sequence : -6

Invalid Input.
>>

-------------------

Enter Length of Bowman sequence : 12
Bowman sequence of length 12 given by
Bowman =
0 1 2 3 6 11 20 37 68 125 230 423
>>

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