What is the next number in the sequence? 9 ...3 ...1 ...1/3 ...

the answer would be 1/9

Step-by-step explanation:

each number is divided by 3 so divide 1/3 by 3 and you get 1/9

1/9

Step-by-step explanation:

The given sequence is a Geometric Sequence. A geometric sequence is defined as such a sequence in which each successive term is obtained by multiplying the previous term by a fixed number known as common ratio.

How to identify a geometric sequence?

Divide any two consecutive terms of the sequence, if the ratio of terms stay the same then the sequence is a geometric sequence.

For the given sequence:

First term = 9

Second term = 3

Third term = 1

Fourth term = 1/3

Ratio of 2nd term to 1st term = 3/9 = 1/3

Ratio of 3rd term to 2nd term = 1/3

Ratio of 4th term to 3rd term = 1/3

Since the ratio is common (equal to 1/3), the given sequence is a geometric sequence. The next term (5th term) will be obtained by multiplying the previous term (4th term) with the common ratio (1/3)

So, the 5th term will be:

1/3 x 1/3 = 1/9