Question

Determine the most probAble next term in the following list of numbers2,8,32,128,512

Answer 1

Given

List of numbers 2 , 8 , 32 , 128 , 512

Find

The most probable next term

Step-by-step 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

`a_n=a(r)^(n-1)`

so ,

`\begin{gathered} a_6=2(4)^5 \\ a_6=2048 \end{gathered}`

Final Answer

Next term = 2048