Find the first 4 terms of the Fibonacci sequence         Fn =  Fn-2 + Fn-1   if n ≥ 2

The Fibonacci sequence is defined by the recurrence relation:

\[
F_n = F_{n-1} + F_{n-2}
\]

With the initial conditions typically given as:

\[
F_0 = 0, \quad F_1 = 1
\]

Using this recurrence relation, we can find the first four terms of the Fibonacci sequence:

1. **\( F_0 \)**: By definition, \( F_0 = 0 \)
2. **\( F_1 \)**: By definition, \( F_1 = 1 \)
3. **\( F_2 \)**: Using the formula \( F_2 = F_1 + F_0 = 1 + 0 = 1 \)
4. **\( F_3 \)**: Using the formula \( F_3 = F_2 + F_1 = 1 + 1 = 2 \)

So, the first four terms of the Fibonacci sequence are:

\[
0, 1, 1, 2
\]

Would you like more details or have any questions?

Here are some related questions:

1. How can you find the 10th term in the Fibonacci sequence?
2. What is the relation between Fibonacci numbers and the golden ratio?
3. How does the Fibonacci sequence appear in nature?
4. Can the Fibonacci sequence be extended to negative indices?
5. How would you use matrices to calculate Fibonacci numbers efficiently?

**Tip:** The Fibonacci sequence is not only mathematical but also has applications in nature, such as the arrangement of leaves on a stem or the pattern of a sunflower's seeds.

Explore how to find the first four terms of the Fibonacci sequence using the recurrence relation. Understand the definition of Fibonacci numbers and their initial conditions. Suitable for students in Grades 7-9.

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