Question

Look at this sequence of numbers: 0, 1, 2, 4, 6, 9, 12, 16, ? - what number should replace the question mark?

Answer 1

The missing number is 20

Explanation:

This question is based on reasoning method. By using this method missing number can be find.

0, 1, 2 , 4, 6, 9, 12, 16 , ?

In order to find the missing number lets start the calculation as:

Now applying the reasoning method.

1 - 0 = 1

2 - 1 = 1

4 - 2 = 2

6 - 4 = 2

9 - 6 = 3

12 - 9 = 3

16 - 12 = 4

so, next term will be , x - 16 = 4

x = 16 + 4 = 20

Therefore the missing number is 20.

Answer 2

The number replacing the question mark is 20.

Explanation:

The pattern followed in solving the sequence is:

a - b = x

c - a = x

Where, b < a and a < c

Now, applying on the series, we get,

1 - 0 = 1

2 - 1 = 1

4 - 2 = 2

6 - 4 = 2

9 - 6 = 3

12 - 9 = 3

16 - 12 = 4

Now, finally,

x - 16 = 4

⇒ x = 4 + 16

∴ x = 20