Whatis the pattern in the increase of these numbers?
0,2,4,6,14,30
10 Answers

Which one? In the headline you say “0,2,6,14,30” but underneath it you say “0,2,4,6,14,30”.
For the first one, you’re just adding successive powers of 2 (2, 4, 8, 16). So adding 32 to 30 gives you 62.

Increasing by powers of 2:
0 + 2 = 2
2 + 4 = 6
6 + 8 = 14
14 + 16 = 30
30 + 32 = 62
62 + 64 = 126
You can actually find a formula for nth term: an = 2^n – 2
Check:
a₁ = 2^1 – 2 = 2 – 2 = 0
a₂ = 2^2 – 2 = 4 – 2 = 2
a₃ = 2^3 – 2 = 8 – 2 = 6
a₄ = 2^4 – 2 = 16 – 2 = 14
a₅ = 2^5 – 2 = 32 – 2 = 30
a₆ = 2^6 – 2 = 64 – 2 = 62
…

1

well the one in the title is different than the one in your question. But the answer to the one in the title is
+2, +4, +8, +16 which are all double the last number. So the next number should be +32 and then + 64 and so on.
so the patter would look like 0, 2, 6, 14, 30, 62, 126. I hope that is what you were asking for since the problem not in your title is different. : /

The pattern is:
Next Number = Previous Number * 2 + 2
So,
First Number = 0
2nd Number = 0*2 + 2 = 2
3rd Number = 2 *2 + 2 = 6
4th Number = 6*2 + 2 = 14
5th Number = 14*2 + 2 = 30
6th Number = 30*2 + 2 = 62
🙂

The pattern is:
0 + 2 = 2
2 + (2 doubled) = 6
2 + (6 doubled) = `14
2. + (14 doubled) = 30

What is the next number in the pattern 2,6,14,30

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times 2, plus 2

62
x = previous + 2*n
where n is the position of x, starts from 0