https://file.aiquickdraw.com/mathbot/file/1726929645405b8zi3k10.jpg

It looks like the image asks to "Find Fibonacci(8)". The Fibonacci sequence is defined as follows:

\[
F(0) = 0, \quad F(1) = 1
\]
\[
F(n) = F(n-1) + F(n-2) \quad \text{for} \, n \geq 2
\]

Now, let's calculate Fibonacci(8):

\[
F(2) = F(1) + F(0) = 1 + 0 = 1
\]
\[
F(3) = F(2) + F(1) = 1 + 1 = 2
\]
\[
F(4) = F(3) + F(2) = 2 + 1 = 3
\]
\[
F(5) = F(4) + F(3) = 3 + 2 = 5
\]
\[
F(6) = F(5) + F(4) = 5 + 3 = 8
\]
\[
F(7) = F(6) + F(5) = 8 + 5 = 13
\]
\[
F(8) = F(7) + F(6) = 13 + 8 = 21
\]

Thus, Fibonacci(8) is **21**.

Would you like further details or have any other questions?

Here are 5 related questions to expand on this:
1. How is the Fibonacci sequence related to the golden ratio?
2. Can you derive a formula for Fibonacci numbers using recursion?
3. What are some real-world applications of Fibonacci numbers?
4. How can you compute large Fibonacci numbers efficiently?
5. What is the closed-form expression for Fibonacci numbers (Binet's formula)?

**Tip:** Fibonacci numbers grow exponentially, but you can approximate large values using the golden ratio to simplify calculations.

Learn how to calculate Fibonacci(8) using the Fibonacci sequence formula. This problem explains step-by-step how to derive the value, which is 21. Suitable for students in Grades 6-8.

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