Find the missing number 6 , 13, 21, ? , 46

Explanation

6, 13, 21, ?, 46

Step-by-step differences:  

13 - 6 = 7  

21 - 13 = 8  

Next difference = ?  

46 - ? = ?

Now, let's continue the pattern of increasing differences:

- 7  

- 8  

- Next should be 9 (assuming pattern increases by 1)

So:  

21 + 9 = 30  

Now check:  

46 - 30 = 16 (seems too big)

Try adding 10 instead:  

21 + 10 = 31  

46 - 31 = 15

Try adding 11:  

21 + 11 = 32  

46 - 32 = 14

Pattern of differences might be:  

7, 8, 9, 14 — not consistent.

Now test this difference sequence:  

13 - 6 = 7  

21 - 13 = 8  

Next: +9  

So 21 + 9 = 30  

30 + 16 = 46 — difference jumps by 7.

That seems to fit if the final jump is unrelated.

Best fitting pattern:  

+7, +8, +9, +16  

So the missing number is 30

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