1. **Stating the problem:** We are given a sequence starting with 34, 55, followed by four unknown terms. We need to find two expressions involving terms of this sequence: $$F_n = \sqrt{F_1 + F_6 - F_3 + F_2(F_4 \times F_5)}$$ and $$F_n = (F_1 \times F_4) + (F_2 - F_3)$$ 2. **Understanding the sequence:** The first two terms are given: $F_1 = 34$, $F_2 = 55$. The next four terms $F_3, F_4, F_5, F_6$ are unknown. 3. **Assumption:** Since the sequence is not explicitly defined, we cannot find exact values for $F_3, F_4, F_5, F_6$. Without these, the expressions cannot be numerically evaluated. 4. **Formula explanation:** - The first expression involves a square root of a combination of terms. - The second expression is a linear combination of products and differences of terms. 5. **Conclusion:** To solve these expressions, values of $F_3, F_4, F_5, F_6$ must be known or defined by a rule. Since the problem does not provide these, the expressions remain in terms of unknowns: $$F_n = \sqrt{34 + F_6 - F_3 + 55 \times (F_4 \times F_5)}$$ $$F_n = (34 \times F_4) + (55 - F_3)$$ Without additional information, these are the simplified forms.