Question

2,4,8,3,9,27,5,25,125,_,_

Answer 1

the next 2 numbers are 8 and 64  

2,4,8,3,9,27,5,25,125,8,64....

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2, 2 X 2=4 , 4 X 2 = 8,....

2+1 = 3, 3 X 3 = 9, 9 X 3 = 27, ....

3+2 = 5, 5 X 5 = 25, 25 X 5 = 125,....

5 + 3 = 8, 8 X 8 = 64

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AND that's how you get the answrr .✌

Answer 2

The answer is $2,4,8,3,9,27,5,25,125, 7,49, 343$.

Given:

The given set of numbers is $2,4,8,3,9,27,5,25,125$.

To find:

The next terms

Solution:

Taking the first three numbers $2,4,8$, we observed that $2$ is a prime number,  $4$ is a square number of  $2$, and $8$ is a cube number of $2$.

Now taking the next three numbers $3,9,27$, we observed that $3$ is a prime number,  $9$ is a square number of $3$ , and $27$ is a cube number of $3$.

Now taking the next three numbers $5, 25, 125$, we observed that $5$ is a prime number,  $25$ is a square number of $5$ and $125$ is a cube number of $5$.

We are going to find the next terms by using our observations.

The next prime number will be $7$. The square of $7$ is $49$, and the cube of $7$ is $343$.

The answer is $2,4,8,3,9,27,5,25,125, 7,49, 343$.

#SPJ2