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UMUC CMSC150
Hello, attached is an assignment I need help with urgently.
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UMUC CMSC150 Assignment7 Your Name INDUCTION 1. Prove that for any integer n, n(n2 -1)(n + 2) is divisible by 4. 2. Prove that for any integers n>=1, n(5n3) 1611 16 (5n -4) 2 11 1n1 4. (1 -2) (1 -) ... (12) n 232 n2 111n ... 1n 2 3n(n 1) 1 n(n 1)2n 1() 1222 n2 6 5. 3. Prove that for all integers n >=2, Prove that for all integers, Prove that for all integers, 6. There is a relationship between the number of vertices in a polygon and the number of triangles in any triangulation of that polygon. State this relationship and prove it by induction.