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Consider the following iterative function: int pentagonal(int n) { int result = 0; for (int i = 1; i

Consider the following iterative function:

int pentagonal(int n)

{

int result = 0;

for (int i = 1; i <= n; i++)

result += 3 * i - 2;

return result;

}

Rewrite the function pentagonal using recursion and add preconditions and postconditions as comments. Then prove by induction that the recursive function you wrote is correct.

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