Final answer:
The recursive formula for the sequence 6, 22, 70, ... cannot be determined with certainty from the provided terms alone, as the pattern in the sequence's growth is not evident.
Step-by-step explanation:
The student is asking for a recursive sequence that would generate the sequence 6, 22, 70, ... Without additional terms, it's challenging to determine a unique recursive formula, but we can look for a pattern in the given terms. By examining the differences between terms (22-6=16 and 70-22=48), we can notice that the differences are growing and potentially involve a multiplication factor or an additive pattern. A recursive formula often has the form an = f(an-1), where subsequent terms depend on the previous ones. However, without a clear pattern or more terms, it's not possible to confidently provide a specific recursive formula