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15 Activity #3 Inductive and Deductive Reasoning and Patterns Show work. 1. Construct a difference table to find the next number in the pattern. 1 , 15, 25, 37, 57 , 2. Find a counterexample for each statement. Explain your reasoning. If the sum of two natural numbers is even, then the product of the two natural number is even . Counterexample: Two numbers are and A Reasoning: C b ) n > - Counterexample: n = n Reasoning: S 18 c) The product of an even number and an odd number is always divisible by 4. Counterexample: Two numbers are and Reasoning