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 [tex]1^{2},1^{3},2^{2},2^{3},3^{2},3^{3}.....[/tex] such that
[tex]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}[/tex]
Therefore, missing number is [tex]3^{3}= 27[/tex]
