Option C: –10, –7.5, –5, –2.5, … is the sequence that could be partially defined by the recursive formula 
Explanation:
The given recursive formula is
for
and 
We need to determine the sequence.
The sequence can be determined by substituting n = 1, 2, 3, 4,....
<u>2nd term of the sequence:</u>
Substituting n = 1 in the formula
, we get,

Simplifying, we have,

Thus, the 2nd term of the sequence is -7.5
<u>3rd term of the sequence:</u>
Substituting n = 2 in the formula
, we get,

Simplifying, we have,

Thus, the 3rd term of the sequence is -5
<u>4th term of the sequence:</u>
Substituting n = 3 in the formula
, we get,

Simplifying, we have,

Thus, the 4th term of the sequence is -2.5
Therefore, the sequence is –10, –7.5, –5, –2.5, …
Hence, Option C is the correct answer.