Answer:
The next number in the sequence is 1/9
Step-by-step explanation:
The sequence you present is a geometric sequence. Geometric sequences are sequences in which successive terms are increases/decreases of an initial number by a common constant factor and are defined as
An= A0*r^(n-1)
The nth term of the sequence is the first term A1 multiplied by a common factor r.
In your problem A1 is 9. The common factor between terms is 1/3 because
9* (1/3) = 9/3= 3
3* (1/3) = 9/3= 1
1* (1/3) = 1/3= 1/3
So the fifth term n= 5 is
An= A0*r^(n-1)
A5=9*(1/3)^(5-1) =9*(1/3)^(4) =9*(1/81)=9/81= 1/9
The answer is 1/9
