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Type the missing number in this sequence:

4, 16, , 256, 1,024

Sagot :

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.

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