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problem: Use mathematical induction to prove:
(1/1.2) + (1/2.3) + (1/3.4) + …. + [1/n(n + 1)] = 1 – (1/n+1)
If n is a positive integer.
problem: 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
1. i ← 0
2. while n>0
3. do i ← i + n
4. n ← n-1