Prove using only the definition of congruence modulo n that
1. Is [2]=[123] modulo 6? Explain.
2. Write an algorithm that counts to 18 by twos.
3. Prove, using only the definition of congruence modulo n, that if a ≡ b (mod n) and c ≡ d (mod n), then a+c ≡ b+d (mod n).
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