Question: 1. Prove or refute for n e N, i, je N, and m {0,1,2,3,...,n-1}, then mi+j mod n = ((m' mod n)x(m) mod n)) mod

1. Prove or refute for n e N, i, je N,

and m {0,1,2,3,...,n-1}, then mi+j mod n = ((m' mod n)x(m) mod

1. Prove or refute for n e N, i, je N, and m {0,1,2,3,...,n-1}, then mi+j mod n = ((m' mod n)x(m) mod n)) mod n 2. Prove by induction that for all n > 1, 12 + 32 + 52 + ... + (2n 1)2 = * (2n 1) (2n +1) 3. Prove by induction that for all n >1, _, (i)(i!) = (n+1)! - 1

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