Given
List of numbers 2 , 8 , 32 , 128 , 512
Find
The most probable next term
Explanation
here , we see it is a geometric sequence since there is a common ratio between each them,
first term , a = 2
common ratio , r = second term/first term = 8/2 = 4
we need the sixth term of a sequence.
as we know the general nth term of geometric sequence is given by
[tex]a_n=a(r)^{n-1}[/tex]so ,
[tex]\begin{gathered} a_6=2(4)^5 \\ a_6=2048 \end{gathered}[/tex]Final Answer
Next term = 2048
