Question

What is the missing number in this pattern?
0, 2, 6, ----, 30, 62

Answer 1

14

Explanation:

The first line below has the given numbers.

The second line has the differences between each two consecutive numbers.

0 2 6 ___ 30 62

2 4 ___ ___ 32

The first two differences are 2 and 4. Maybe the differences are powers of 2.

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

2^5 = 32

Sure enough the 5th difference is 32.

We can now fill in the differences on the second line.

0 2 6 ___ 30 62

2 4 8 16 32

Now we add each difference to the previous number to get the next number.

0 2 6 14 30 62

2 4 8 16 32

Answer: 14

Answer 2

14

Explanation:

so the pattern is they add 2 then they add 4 then they add 8 then the add 16 basically they are double the number being added each number so the missing number is 14