What is the next number in the sequence /3?

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

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step-by-step explanation: