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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)
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x2+y2 r=12
R.2,4,6,8,10 B.8,10
If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v
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