Explanation

Check the pattern:

121 = 11 x 11

144 = 12 x 12

169 = 13 x 13

196 = 14 x 14

So each number is a square of consecutive numbers: 11, 12, 13, 14

Next number will be square of 15

15 x 15 = 225

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Explanation

Check the letters:

AB -> skip C -> DE  

DE -> skip F -> GH  

GH -> skip I -> JK  

So each pair goes forward 2 letters, and we skip 1 letter between pairs.

After JK:  

Skip L  

Next pair = MN

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Explanation

Pattern = Previous × 2 + 1

4 × 2 + 1 = 9

9 × 2 + 1 = 19

19 × 2 + 1 = 39

39 × 2 + 1 = 79

79 × 2 + 1 = 159

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Explanation

Letters:

B, D, F, H ...  

B + 2 = D  

D + 2 = F  

F + 2 = H  

H + 2 = J

Numbers:

2, 4, 8, 16 ...  

Each number is multiplied by 2  

2 x 2 = 4  

4 x 2 = 8  

8 x 2 = 16  

16 x 2 = 32

So the next term = J32

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Explanation

Check the pattern between the numbers:

14 = 7 x 2 + 0  

30 = 14 x 2 + 2  

62 = 30 x 2 + 2  

126 = 62 x 2 + 2  

From 14 onwards, the rule is: multiply by 2 and add 2

Now apply the same rule to find the next number:  

Next number = 126 x 2 + 2  

Next number = 252 + 2  

Next number = 254  

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