Nested loops result

Question

I really don\'t know how to find out the result of nested loops. For example in the following pseudo-code, I can\'t sort out what will be given at the end of execution. I\'ll b

Answer 1

I am getting it something like this :

n = 1: r = 2
n = 2: r = 8
n = 3: r = 20
n = 4: r = 40
n = 5: r = 70
n = 6: r = 112
n = 7: r = 168
n = 8: r = 240
n = 9: r = 330
n = 10: r = 440

lets say for n = 10,

r = 2 + 6 + 12 + 20 + 30 + 42 + 56 + 72 + 90 + 110 = 440
=> r = 2(1 + 3 + 6 + 10 + 15 + 21 + 28 + 36 + 45 + 55)

Intuitively, I think

n = sum(n-1) + n * (n + 1).

where

sum(n-1) = value of r for n-1