ACTIVITY1 1. Determine whether the reasoning in the following examples is inductive or deductive. a. It has rained every day for the past 5 days and it is raining today as well. So it will also rain tomorrow. b. Josh has 95 baseball cards. His sister gave him 20 more on his birthday. Therefore he now has 115 baseball cards. c. All men are mortal. Socrates is a man. Therefore Socrates is mortal. d. In the sequence 5, 10, 15, 20 ….. The most probable next number is 25. 2. Identify the pattern and find the next number. a. 8, 12, 16, 20, 24… b. 4, 2, 0, -2, -4 … c. 1, 4, 1, 8, 1, 16… d. 1 1 1 1 1 , , , , 2 6 10 14 18 … e. 2, 5, 9, 14, 20, 27... f. 2, 6, 5, 15, 14, 42, 41, 123 ... g. 125, -25, 5, -1 …. h. 3, 9, 27, 81… i. 3, 6, 11, 18, 27, 38… j. 2, 5, 7, 12, 19, 31… k. 1 1 1 1, , , 3 9 27 … l. 1=1, 1+4 =5, 1+4+9 =14 … m. 1, 2, 8, 22, 47 … (hint: use successive differences) n. 2, 6, 22, 56, 114… (hint: use successive differences