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,
[tex]\dfrac{16}{4}=4[/tex]
[tex]\dfrac{1024}{256}=4[/tex]
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.
[tex]16\times 4=64[/tex]
Therefore, the missing value is 64.
