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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Explanation

Look at the differences or the formula:

2 = 2 × 1² = 2  

8 = 2 × 2² = 8  

18 = 2 × 3² = 18  

32 = 2 × 4² = 32  

50 = 2 × 5² = 50  

72 = 2 × 6² = 72  

So the next term = 2 × 7² = 2 × 49 = 98.

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Explanation

1 = 1³, 8 = 2³, 27 = 3³ are perfect cubes.

65 is not a perfect cube (it should be 64 = 4³).

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Explanation

2 = 1³ + 1 = 1 + 1  

9 = 2³ + 1 = 8 + 1  

28 = 3³ + 1 = 27 + 1  

65 = 4³ + 1 = 64 + 1  

Next term = 5³ + 1 = 125 + 1 = 126

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