Answer:
6 possible integers
Explanation:
Given
A decreasing geometric sequence

Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be

The next will be;

The nth term will be

For each of the successive terms to be less than the previous term;
then
must be a proper fraction;
This implies that:

Where 7 is the denominator
The sets of
is
and their are 6 items in this set
Hence, there are 6 possible integer