Nice... you might have put the wrong picture lol
Answer:
6 possible integers
Step-by-step 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:

<em>Where 7 is the denominator</em>
<em>The sets of </em>
<em> is </em>
<em> and their are 6 items in this set</em>
<em>Hence, there are 6 possible integer</em>
(24*32)/(2*3)
(768)/(6)
=128
I hope this helped you!!