Question: 4. Prove by mathematical induction that (a) 4 n + 15n 1 is divisible by 9 Vn 1 (b) 19 n 13 n is divisible

4. Prove by mathematical induction that

(a) 4 n + 15n 1 is divisible by 9 Vn 1

(b) 19n 13n is divisible by 6 Vn 1

(c) 2 n+2 + 32n +1 is divisible by 7 Vn 1

(d) 11n + 2 + 122n + 1 is divisible by 133 Vn 1

(e) (n + 1) 2 2n 2 Vn 3

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