Answer:
Missing number ⇒ 27
Step-by-step explanation:
Given sequence is:
1, 1, 4, 8, 9 , ?, 16, 64
We need to find the missing number of the sequence.
Solution:
We can see the series consist numbers 1, 2, 3, 4, 5.. of power 2 and 3 each respectively. So, the series is
such that
![1 = 1^{2}\\1=1^{3}\\ 4=2^{2}\\\ 8=2^{3}\\\ 9=3^{2}\\\ 27=3^{3}------missing \ number\\\ 16=4^{2}\\\ 64=4^{3}](https://tex.z-dn.net/?f=1%20%3D%201%5E%7B2%7D%5C%5C1%3D1%5E%7B3%7D%5C%5C%204%3D2%5E%7B2%7D%5C%5C%5C%208%3D2%5E%7B3%7D%5C%5C%5C%209%3D3%5E%7B2%7D%5C%5C%5C%2027%3D3%5E%7B3%7D------missing%20%5C%20number%5C%5C%5C%2016%3D4%5E%7B2%7D%5C%5C%5C%2064%3D4%5E%7B3%7D)
Therefore, missing number is ![3^{3}= 27](https://tex.z-dn.net/?f=3%5E%7B3%7D%3D%2027)