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