Use loop invariant to prove the working of the program, Programming Languages

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1. Use mathematical induction to prove

281_Use loop invariant to prove the working of the program.png

Whenever n is a positive integer.

2. Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.

INPUT: Integer n

OUTPUT: The sum of 1,...,n

S(n)

1. i ← 0

2. while n>0

3. do i ← i + n

4. n ← n-1

5. return(i)

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