Question

Type the missing number in this sequence:

4, 16, , 256, 1,024

Answer 1

Given:

The sequence is

4, 16, ___, 256, 1024

To find:

The missing number in the given sequence.

Solution:

We have,

4, 16, ___, 256, 1024

Here,

`(16)/(4)=4`

`(1024)/(256)=4`

The given sequence has common ratio 4. So, the given sequence is a geometric sequence.

To get the missing value, we need to multiply 16 and the common ratio.

`16* 4=64`

Therefore, the missing value is 64.