Write a Matlab script that asks for an integer (n) and then computes the following based on the value of the integer:

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While the value of n is greater than 1, replace the integer with half of its value (n/2) if the integer is even. Otherwise, replace the integer with three times its value, plus 1 (3*n + 1).
Print the sequence that results.
Example: if n=10 then the sequence will be 10, 5, 16, 8, 4, 2, 1
  2 Comments
Purushottama Rao
Purushottama Rao on 7 May 2015
As i understood from the question, you would like to input an interger say 10, and you would like to generate a sequence. Is the sequence should consider 1 to 10 numbers for the above said arithematics. Then in that case for a given integer say 10, the sequence conatins 10 elements? is that what you want to do?

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Answers (2)

Ingrid
Ingrid on 7 May 2015
Edited: Ingrid on 7 May 2015
prompt = 'Give an integer value? ';
n = input(prompt);
% check if integer number is provided
if ~(abs(round(n)-n) < eps)
errordlg(' The number provided is not an integer');
else
while n > 1
if floor(n/2) == n/2
%number is even
n = n/2;
else
%number is odd
n = 3*n+1;
end
disp(n)
end
end
this took about 1 minute so should not have been too difficult to solve yourself
  1 Comment
Guillaume
Guillaume on 7 May 2015
"this took about 1 minute so should not have been too difficult to solve yourself", so it would be best no to give away the whole solution without seeing at least some sort of attempt by the OP.

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Purushottama Rao
Purushottama Rao on 7 May 2015
k=input('enter the data')
a=1:k;
disp('before manipulations')
disp(a)
for n=1:length(a)
if (a(n)>1&&mod(a(n),2)==0)
a(n)=0.5*a(n);
elseif (a(n)>1 && mod(a(n),2)==1)
a(n)=3*a(n)+1;
end
end
enter the data 10
k =
10
before manipulations 1 2 3 4 5 6 7 8 9 10
after manipulations 1 1 10 2 16 3 22 4 28 5 disp('after manipulations') disp(a)
  5 Comments
Guillaume
Guillaume on 7 May 2015
I thought that was pretty clear. The first element of the sequence is the input number, the next element is either:
  • half the previous element, if it is even
  • 1 plus 3 times the previous element, if it is odd and greater than one
  • the end of the sequence, if it is 1.

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