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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
S(n)
1. i  ← 0
2. while  n>0
3. do   i  ← i + n
4. n  ← n-1
5. return(i)

Math, Academics

  • Category:- Math
  • Reference No.:- M9299

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