The function WeirdSum takes as input a positive integer n, and returns the sum o

Question

The function WeirdSum takes as input a positive integer n, and returns the sum of all numbers between 1 and n?1 that are either divisible by 3 or divisible by 4, but not both.

For instance, WeirdSum(5) = 7, WeirdSum(8) = 13, and WeirdSum(13) = 30

.
(a) Write a matlab function WeirdSumForLoop.m that uses a for loop to calculate WeirdSum(n) for any positive integer n.
(b) Write a matlab function WeirdSumNoLoop.m that calculates WeirdSum(n) for any positive integer n, but does not use a for loop, while loop, or recursion.

(c) Write a script WeirdSumTest.m that compares the speed of WeirdSumForLoop.m and WeirdSumNoLoop.m for large values of n. Comment on the di?erences between the speed.

Explanation / Answer

a) weired sum using for loop

function result=WeirdSum(n)

sum=0;

for i=1:n-1

if i%3==0 and if i%4==0

continue;

elseif i%3==0

sum+=i;

elseif i%4==0

sum+=i;

end

return sum;

end

b)weired sum without for loop

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