1. **Stating the problem:** We have a quadratic sequence with a general term formula involving $n$, and we want to find the explicit formula or understand its properties given some terms. 2. **Understanding quadratic sequences:** A quadratic sequence has a general term of the form $$T_n = an^2 + bn + c$$ where $a$, $b$, and $c$ are constants. 3. **Given information:** The problem states "7), has the following properties: o Ty=1166 A" which is unclear. Assuming the term $T_7 = 1166$. 4. **Using the general term:** Substitute $n=7$ into the general term: $$T_7 = a(7)^2 + b(7) + c = 49a + 7b + c = 1166$$ 5. **Next steps:** To find $a$, $b$, and $c$, we need at least two more terms or information about the sequence (like first term, second term, or common second difference). 6. **Summary:** With only $T_7 = 1166$, we cannot uniquely determine the quadratic formula. More data is needed. **Final answer:** More information is required to find the explicit formula of the quadratic sequence.