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Answer :

Given data:

The given common ratio is r=1/3.

(a)

The expression for the common ratio of first series is,

r=27/81

=1/3

(b)

The expression for the common ratio of second series is,

r=3/1

=3

(c)

The expression for the common ratio of second series is,

r=12/9

=4/3

(d)

The expression for the common ratio of second series is,

r=-3/1

=-3

Thus, the first option has 1/3 common ratio.