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1. Use mathematical induction to prove
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)
(a) (i) What do you meant by a function? Are functions required when writing a C program? (ii) State one of the advantages to the use of functions. (iii) What do you meant by a
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