Question

Consider the following function function calculate( n ) { if(n equals 5) return 5 else return (n + calculate(n-5)) end } Shishir calls the function by the statement, calculate(20). What value will the function return?

Answer 1

Answer:

The answer is f(20) = 35.

Explanation:

i) If we translate the code into mathematical expression, the function will be:

f(n) = 5, n = 5;

f(n) = n + (n-5), n ≠ 5

ii) For n = 20,

f(n) =  n + (n-5)

Substituting n = 20,

f(20) = 20 + 20 - 5 = 35

iii) Hence, the answer is f(20) = 35.

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