<h2>
Answer:</h2>
Option: C is the correct answer.
C. 
<h2>
Step-by-step explanation:</h2>
The sequence is given by the explicit formula as:

where
is the nth term of the sequence.
Also, the first term of the sequence is: 
i.e.

Also,

Hence, the recursive formula which represents the same sequence is:
Option: C
Here is all I got for you. From the starting expression to the simplest one.
t^2 + 4tv + 4^2 =
t^2 + 4tv + 16 =
t(t + 4v) + 16