SOLUTION: Use inductive reasoning to predict the next line in the pattern 11 x 12 = 13 x 14 - ( 11 + 12 + 13 + 14) 12 x 13 = 14 x 15 - ( 12 + 13 + 14 + 15)

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Question 1096758: Use inductive reasoning to predict the next line in the pattern 11 x 12 = 13 x 14 - ( 11 + 12 + 13 + 14) 12 x 13 = 14 x 15 - ( 12 + 13 + 14 + 15)
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
11 x 12 = 13 x 14 - (11 + 12 + 13 + 14)
12 x 13 = 14 x 15 - (12 + 13 + 14 + 15)
13 x 14 = 15 x 16 - (13 + 14 + 15 + 16)
14 x 15 = 16 x 17 - (14 + 15 + 16 + 17)
15 x 16 = 17 x 18 - (15 + 16 + 17 + 18)
16 x 17 = 18 x 19 - (16 + 17 + 18 + 19)
17 x 18 = 19 x 20 - (17 + 18 + 19 + 20)
18 x 19 = 20 x 21 - (18 + 19 + 20 + 21)
19 x 20 = 21 x 22 - (19 + 20 + 21 + 22)
20 x 21 = 22 x 23 - (20 + 21 + 22 + 23)
21 x 22 = 23 x 24 - (21 + 22 + 23 + 24)
22 x 23 = 24 x 25 - (22 + 23 + 24 + 25)
23 x 24 = 25 x 26 - (23 + 24 + 25 + 26)
24 x 25 = 26 x 27 - (24 + 25 + 26 + 27)
25 x 26 = 27 x 28 - (25 + 26 + 27 + 28)
26 x 27 = 28 x 29 - (26 + 27 + 28 + 29)
27 x 28 = 29 x 30 - (27 + 28 + 29 + 30)
28 x 29 = 30 x 31 - (28 + 29 + 30 + 31)
29 x 30 = 31 x 32 - (29 + 30 + 31 + 32)
30 x 31 = 32 x 33 - (30 + 31 + 32 + 33)
31 x 32 = 33 x 34 - (31 + 32 + 33 + 34)
32 x 33 = 34 x 35 - (32 + 33 + 34 + 35)
33 x 34 = 35 x 36 - (33 + 34 + 35 + 36)
34 x 35 = 36 x 37 - (34 + 35 + 36 + 37)
35 x 36 = 37 x 38 - (35 + 36 + 37 + 38)
36 x 37 = 38 x 39 - (36 + 37 + 38 + 39)
37 x 38 = 39 x 40 - (37 + 38 + 39 + 40)
38 x 39 = 40 x 41 - (38 + 39 + 40 + 41)
39 x 40 = 41 x 42 - (39 + 40 + 41 + 42)
40 x 41 = 42 x 43 - (40 + 41 + 42 + 43)
41 x 42 = 43 x 44 - (41 + 42 + 43 + 44)
42 x 43 = 44 x 45 - (42 + 43 + 44 + 45)
43 x 44 = 45 x 46 - (43 + 44 + 45 + 46)
44 x 45 = 46 x 47 - (44 + 45 + 46 + 47)
45 x 46 = 47 x 48 - (45 + 46 + 47 + 48)
46 x 47 = 48 x 49 - (46 + 47 + 48 + 49)
47 x 48 = 49 x 50 - (47 + 48 + 49 + 50)
48 x 49 = 50 x 51 - (48 + 49 + 50 + 51)
49 x 50 = 51 x 52 - (49 + 50 + 51 + 52)
50 x 51 = 52 x 53 - (50 + 51 + 52 + 53)
51 x 52 = 53 x 54 - (51 + 52 + 53 + 54)
52 x 53 = 54 x 55 - (52 + 53 + 54 + 55)
53 x 54 = 55 x 56 - (53 + 54 + 55 + 56)
54 x 55 = 56 x 57 - (54 + 55 + 56 + 57)
55 x 56 = 57 x 58 - (55 + 56 + 57 + 58)
56 x 57 = 58 x 59 - (56 + 57 + 58 + 59)
57 x 58 = 59 x 60 - (57 + 58 + 59 + 60)
58 x 59 = 60 x 61 - (58 + 59 + 60 + 61)
59 x 60 = 61 x 62 - (59 + 60 + 61 + 62)
60 x 61 = 62 x 63 - (60 + 61 + 62 + 63)
61 x 62 = 63 x 64 - (61 + 62 + 63 + 64)
62 x 63 = 64 x 65 - (62 + 63 + 64 + 65)
63 x 64 = 65 x 66 - (63 + 64 + 65 + 66)
64 x 65 = 66 x 67 - (64 + 65 + 66 + 67)
65 x 66 = 67 x 68 - (65 + 66 + 67 + 68)
66 x 67 = 68 x 69 - (66 + 67 + 68 + 69)
67 x 68 = 69 x 70 - (67 + 68 + 69 + 70)
68 x 69 = 70 x 71 - (68 + 69 + 70 + 71)
69 x 70 = 71 x 72 - (69 + 70 + 71 + 72)
70 x 71 = 72 x 73 - (70 + 71 + 72 + 73)
71 x 72 = 73 x 74 - (71 + 72 + 73 + 74)
72 x 73 = 74 x 75 - (72 + 73 + 74 + 75)
73 x 74 = 75 x 76 - (73 + 74 + 75 + 76)
74 x 75 = 76 x 77 - (74 + 75 + 76 + 77)
75 x 76 = 77 x 78 - (75 + 76 + 77 + 78)
76 x 77 = 78 x 79 - (76 + 77 + 78 + 79)
77 x 78 = 79 x 80 - (77 + 78 + 79 + 80)
78 x 79 = 80 x 81 - (78 + 79 + 80 + 81)
79 x 80 = 81 x 82 - (79 + 80 + 81 + 82)
80 x 81 = 82 x 83 - (80 + 81 + 82 + 83)
81 x 82 = 83 x 84 - (81 + 82 + 83 + 84)
82 x 83 = 84 x 85 - (82 + 83 + 84 + 85)
83 x 84 = 85 x 86 - (83 + 84 + 85 + 86)
84 x 85 = 86 x 87 - (84 + 85 + 86 + 87)
85 x 86 = 87 x 88 - (85 + 86 + 87 + 88)
86 x 87 = 88 x 89 - (86 + 87 + 88 + 89)
87 x 88 = 89 x 90 - (87 + 88 + 89 + 90)
88 x 89 = 90 x 91 - (88 + 89 + 90 + 91)
89 x 90 = 91 x 92 - (89 + 90 + 91 + 92)
90 x 91 = 92 x 93 - (90 + 91 + 92 + 93)
91 x 92 = 93 x 94 - (91 + 92 + 93 + 94)
92 x 93 = 94 x 95 - (92 + 93 + 94 + 95)
93 x 94 = 95 x 96 - (93 + 94 + 95 + 96)
94 x 95 = 96 x 97 - (94 + 95 + 96 + 97)
95 x 96 = 97 x 98 - (95 + 96 + 97 + 98)
96 x 97 = 98 x 99 - (96 + 97 + 98 + 99)
97 x 98 = 99 x 100 - (97 + 98 + 99 + 100)
98 x 99 = 100 x 101 - (98 + 99 + 100 + 101)
99 x 100 = 101 x 102 - (99 + 100 + 101 + 102)
100 x 101 = 102 x 103 - (100 + 101 + 102 + 103)

Edwin
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