Question: 5. (Induction/Recursion - 25 pt.) a. (5 pts.) Give a recursive definition of the sequence an = 4n 2, n=1,2,3,.... b. (10 pts.) What is

5. (Induction/Recursion - 25 pt.) a. (5 pts.) Give a recursive

5. (Induction/Recursion - 25 pt.) a. (5 pts.) Give a recursive definition of the sequence an = 4n 2, n=1,2,3,.... b. (10 pts.) What is the output when you invoke the methodA with 45. public static int methodA (long n) { int result = 1; if (n != 0) { result = methodA (n / 10) * (int) (n % 10); } return result; } C. (15 pts.) Hn = ??=1 denotes the nth harmonic number. Prove that H + H2 +...+Hn (n + 1) Hn- n by induction. =

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