Answer:
-11/4
(I think you meant -3/2 not -2/3 at the end there.)
Step-by-step explanation:
If it is arithmetic, it's going up or down by same number.
So we started with 7/2 and went down to 9/4.
If we can find how much it went down, then we can find the next term after -3/2.
Find difference
7/2-9/4
Find common denominator
14/4-9/4
5/4
So we are going down by 5/4 each time.
That means the following equations should ve true:
7/2-5/4=9/4
9/4-5/4=1
1-5/4=-1/4
-1/4-5/4=-3/2
And all of these are in fact true.
The next term in the sequence will be
-3/2-5/4.
Find common denominator
-6/4-5/4
-11/4
