The method of successive differences uses subtraction to the one number to the next and the process goes on until the difference settles constant which is not equal to zero. In this case, the constant difference reaches 25. Reversing the process to get the next term, the answer is 2509.
Answer:

Step-by-step explanation:
As per the given question
As we know that
f(x) and x are related by following equation

where
b is the common ratio
Now first we have to compute the value for b which are as follows


Like if we take the ratio by this method than it comes 1.25
Therefore the common ratio, b = 1.25
So,
a = 5,120
Hence, the equation which model the relationship between the number of weeks and the number of viewers is

Answer:
ASA
Step-by-step explanation: I'm not sure I had just found a key.
Hello!
The parent function, y = ln(x), has a vertical and horizontal translation.
y = ln(x - h) + k | In this equation, h is the vertical shift, and k is the horizontal shift.
If ln(x - k), then the graph is translated right k units.
If ln(x + k), then the graph is translated left k units.
If ln(x) + h, then the graph is translated up h units.
If ln(x) - h, then the graph is translated down h units.
Therefore, the graph of y = ln(x - 7) + 3 is translated 3 units up and 7 units to the right, which is choice D.