make a list of numbers. each number is the sum of the previous two numbers. start with the numbers 0 and 1 then follow the rule to build a sequence of numbers

The sequence you are describing is known as the Fibonacci sequence. It starts with 0 and 1, and each subsequent number is the sum of the previous two numbers. Here's how the sequence looks:

1. 0
2. 1
3. 1 (0 + 1)
4. 2 (1 + 1)
5. 3 (1 + 2)
6. 5 (2 + 3)
7. 8 (3 + 5)
8. 13 (5 + 8)
9. 21 (8 + 13)
10. 34 (13 + 21)
11. 55 (21 + 34)
12. 89 (34 + 55)
13. 144 (55 + 89)
14. 233 (89 + 144)
15. 377 (144 + 233)

Would you like to see more numbers in the sequence, or do you have any questions?

### Related Questions:
1. What are some real-world applications of the Fibonacci sequence?
2. How does the Fibonacci sequence relate to the Golden Ratio?
3. Can the Fibonacci sequence be found in nature? Provide examples.
4. What is the formula to find the nth Fibonacci number directly?
5. How can the Fibonacci sequence be represented using matrices?

**Tip:** The Fibonacci sequence is not just a mathematical curiosity—it has connections to art, nature, and even financial markets.

Learn how to generate the Fibonacci sequence starting with 0 and 1. Understand the rule where each number is the sum of the previous two numbers. Includes a detailed sequence and related questions on applications, nature, and mathematical connections.

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