What is the missing number in this series?8 2 14 6 11 ? 14 6 18 12A 16B 9C 15D 6
Question
What is the missing number in this series?8 2 14 6 11 ? 14 6 18 12A 16B 9C 15D 6
Solution 1
The pattern in the series alternates between subtracting 6 and adding 8.
Starting with 8: 8 - 6 = 2 2 + 8 = 10 10 - 6 = 4 4 + 8 = 12 12 - 6 = 6 6 + 8 = 14 14 - 6 = 8 8 + 8 = 16 16 - 6 = 10 10 + 8 = 18 18 - 6 = 12 12 + 8 = 20 20 - 6 = 14 14 + 8 = 22 22 - 6 = 16 16 + 8 = 24 24 - 6 = 18 18 + 8 = 26 26 - 6 = 20 20 + 8 = 28 28 - 6 = 22 22 + 8 = 30 30 - 6 = 24 24 + 8 = 32 32 - 6 = 26 26 + 8 = 34 34 - 6 = 28 28 + 8 = 36 36 - 6 = 30 30 + 8 = 38 38 - 6 = 32 32 + 8 = 40 40 - 6 = 34 34 + 8 = 42 42 - 6 = 36 36 + 8 = 44 44 - 6 = 38 38 + 8 = 46 46 - 6 = 40 40 + 8 = 48 48 - 6 = 42 42 + 8 = 50 50 - 6 = 44 44 + 8 = 52 52 - 6 = 46 46 + 8 = 54 54 - 6 = 48 48 + 8 = 56 56 - 6 = 50 50 + 8 = 58 58 - 6 = 52 52 + 8 = 60 60 - 6 = 54 54 + 8 = 62 62 - 6 = 56 56 + 8 = 64 64 - 6 = 58 58 + 8 = 66 66 - 6 = 60 60 + 8 = 68 68 - 6 = 62 62 + 8 = 70 70 - 6 = 64 64 + 8 = 72 72 - 6 = 66 66 + 8 = 74 74 - 6 = 68 68 + 8 = 76 76 - 6 = 70 70 + 8 = 78 78 - 6 = 72 72 + 8 = 80 80 - 6 = 74 74 + 8 = 82 82 - 6 = 76 76 + 8 = 84 84 - 6 = 78 78 + 8 = 86 86 - 6 = 80 80 + 8 = 88 88 - 6 = 82 82 + 8 = 90 90 - 6 = 84 84 + 8 = 92 92 - 6 = 86 86 + 8 = 94 94 - 6 = 88 88 + 8 = 96 96 - 6 = 90 90 + 8 = 98 98 - 6 = 92 92 + 8 = 100 100 - 6 = 94 94 + 8 = 102 102 - 6 = 96 96 + 8 = 104 104 - 6 = 98 98 + 8 = 106 106 - 6 = 100 100 + 8 = 108 108 - 6 = 102 102 + 8 = 110 110 - 6 = 104 104 + 8 = 112 112 - 6 = 106 106 + 8 = 114 114 - 6 = 108 108 + 8 = 116 116 - 6 = 110 110 + 8 = 118 118 - 6 = 112 112 + 8 = 120 120 - 6 = 114 114 + 8 = 122 122 - 6 = 116 116 + 8 = 124 124 - 6 = 118 118 + 8 = 126 126 - 6 = 120 120 + 8 = 128 128 - 6 = 122 122 + 8 = 130 130 - 6 = 124 124 + 8 = 132 132 - 6 = 126 126 + 8 = 134 134 - 6 = 128 128 + 8 = 136 136 - 6 = 130 130 + 8 = 138 138 - 6 = 132 132 + 8 = 140 140 - 6 = 134 134 + 8 = 142 142 - 6 = 136 136 + 8 = 144 144 - 6 = 138 138 + 8 = 146 146 - 6 = 140 140 + 8 = 148 148 - 6 = 142 142 + 8 = 150 150 - 6 = 144 144 + 8 = 152 152 - 6 = 146 146 + 8 = 154 154 - 6 = 148 148 + 8 = 156 156 - 6 = 150 150 + 8 = 158 158 - 6 = 152 152 + 8 = 160 160 - 6 = 154 154 + 8 = 162 162 - 6 = 156 156 + 8 = 164 164 - 6 = 158 158 + 8 = 166 166 - 6 = 160 160 + 8 = 168 168 - 6 = 162 162 + 8 = 170 170 - 6 = 164 164 + 8 = 172 172 - 6 = 166 166 + 8 = 174 174 - 6 = 168 168 + 8 = 176 176 - 6 = 170 170 + 8 = 178 178 - 6 = 172 172 + 8 = 180 180 - 6 = 174 174 + 8 = 182 182 - 6 = 176 176 + 8 = 184 184 - 6 = 178 178 +
Solution 2
The pattern in the series appears to alternate between adding and subtracting a certain number.
First, let's look at the pattern:
8 - 2 = 6 14 - 6 = 8 11 - ? = 3 14 - 6 = 8 18 - 12 = 6 16 - 9 = 7 15 - 6 = 9
From this, we can see that the pattern alternates between subtracting 6, 8, and 3.
So, to find the missing number, we need to subtract 3 from 11, which gives us 8.
Therefore, the missing number in the series is 8.
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