Answer:
The next term in the sequence = -175
Step-by-step explanation:
Here, the given sequence is : 400, 200, 150, 75, 25...
Now here, in the given sequence, 
 First Term - Second Term = 400 - 200 = 200
Second Term -   Third Term   =  200  - 150  = 50
Third term  - Fourth Term  = 150 - 75   = 75
Fourth term - Fifth term = 75 - 25 =  50 
So, following this pattern, 
Fifth Term - Sixth term = 200
Or, 25 - Sixth Term = 200
or, Sixth term  =  25 - 200  = - 175
Hence, the next term in the sequence = -175