0 , 2 , 6 , 14 , _ , 62 , ...?

Question

What is the missing number? the first correct answer with a workout explanation gets 10 points.

Answer 1

the rule for this is

y = 2x + 2

so to find the number after 14 it would be

14 X 2 + 2

= 30

and the number after 62 is

62 X 2 + 2

= 126

IT WORKS!

you can test it with all the numbers if you like to make sure

Answer 2

I see it a different way
2^n - 2

1) 2 ^1 -2 = 0
2) 2^2 - 2 = 2 (2 squared minus 2)
3) 2^3 - 2 =6 (2 cubed - 2) etc
4) 2^4 - 2 = 14
missing link
5) 2^5 -2 = 34

6) 2^6 - 2 = 62
next
7) 2^7 - 2 = 126

it's 2 exponentially - 2

tada

the other solution does not account for zero
in the number one slot - therefore, 30 is not correct

Answer 3

Here's how it goes:
To find the next number, you add 1 to the current number and then multiply it with 2.

Suppose we want to find what comes after 2 in the given sequence. We add 1 to 2 that makes it 3. Now we multiply 3 with 2 to get 14. So, 14 is the next number.

Hence general formula is: x = 2(n+1) where x is the next number and n is the current number.

So, the number after 14 = 2(14+1) = 30

Answer 4

30

Answer 5

0, 2, 6, 14, __ , 62, __

+2, +4, +8 +16, +32 (the subsequent no is the product of the previous no multiplied by two)

Solution:
0+2=2
2+4=6
6+8=14
14+16=30
30+32=62
62+64=126

Hope my explanation is clear enough... Thanks

Answer 6

2 ^ n - 2,
which for n = 5 yields to 30.