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QUESTION
Recall for integers n 2,a,b,c,d, that if a b (mod n) and c d (mod n), then both a + c b + d (mod n) and ac bd (mod n).
- 6.30. Recall for integers n ≥ 2,a,b,c,d, that if a ≡ b (mod n) and c ≡ d (mod n), then both a + c ≡ b + d (mod n) and ac ≡ bd (mod n). Use these results and mathematical induction to prove the following: For any 2m integers a1,a2,...,am and b1,b2,...,bm for which ai ≡ bi (mod n) for 1 ≤ i ≤ m
- (a) a1+a2+···+am ≡b1+b2+···+bm (modn)and
