This is a multiple-choice question about the Fibonacci sequence, specifically asking for the value of $F_1$.

The Fibonacci sequence is typically defined as: $F_0 = 0, \, F_1 = 1, \, F_2 = F_0 + F_1, \, F_3 = F_1 + F_2, \, \text{and so on.}$

Looking at the sequence provided in the question: $\{0, 1, 1, 2, 3, 5, 8, \dots\}$, we see:

• $F_0 = 0$
• $F_1 = 1$

Thus, the correct value of $F_1$ is $1$.

Final Answer:

$\boxed{F_1 = 1}$

Would you like me to explain further or answer additional related questions?

Related Questions:

1. What is the formula for calculating any Fibonacci number?
2. What is the value of $F_5$ in the sequence provided?
3. How is the Fibonacci sequence applied in real-world scenarios?
4. What is the ratio of consecutive Fibonacci numbers as $n \to \infty$?
5. How would the sequence change if the starting terms were $F_0 = 1$ and $F_1 = 1$?

Tip:

The Fibonacci sequence often appears in nature, such as in the arrangement of leaves, flower petals, and shells, due to its connection to the golden ratio.