To check what kid of sequence the function 
generates, we are going to evaluate the function at 
, 
, and 
to find the first three terms of our sequence. Then, we are going to check if the sequence has a constant difference, 
, which means the sequence will be arithmetic, or a constant ratio 
, which means the sequence will be geometric.
So, we have the sequence 2750,3500,4250,... Lets find if it has a constant difference. To do that we are going to use the formula
; in other words we are going subtract the current number from the previous one:
Notice that the difference,, is constant, so we have a arithmetic sequence.
We can conclude that the sequence the function generates is an arithmetic sequence.
So, we have the sequence 2750,3500,4250,... Lets find if it has a constant difference. To do that we are going to use the formula
Notice that the difference,
We can conclude that the sequence the function