Here is a rule to make a list of nujmbers: Each numbe is the sum of the previous two numbers. Start with the nuumbers 0 and 1, then follow the rule to build a sequence of 10 numbers

To create the sequence based on the rule provided:

1. Start with the numbers 0 and 1.
2. Each subsequent number is the sum of the previous two numbers.

Let's build the sequence:

1. First number: \(0\) (Given)
2. Second number: \(1\) (Given)
3. Third number: \(0 + 1 = 1\)
4. Fourth number: \(1 + 1 = 2\)
5. Fifth number: \(1 + 2 = 3\)
6. Sixth number: \(2 + 3 = 5\)
7. Seventh number: \(3 + 5 = 8\)
8. Eighth number: \(5 + 8 = 13\)
9. Ninth number: \(8 + 13 = 21\)
10. Tenth number: \(13 + 21 = 34\)

The sequence of 10 numbers is:

**0, 1, 1, 2, 3, 5, 8, 13, 21, 34**

Would you like any more details or explanations?

Here are five related questions:

1. What is the name of this sequence?
2. How would you find the 20th number in the sequence?
3. What is the formula for finding any term in this sequence without listing all the previous terms?
4. How does the ratio between consecutive terms of the sequence behave as the sequence progresses?
5. Can you identify a pattern in the differences between consecutive numbers in the sequence?

**Tip:** The sequence you just created is known as the Fibonacci sequence, which has many interesting properties and appears in various fields of mathematics, nature, and art.

Discover the Fibonacci sequence, starting with 0 and 1, where each subsequent number is the sum of the previous two. Learn its properties, applications in mathematics, nature, and art, and explore related questions and patterns. Suitable for students in Grades 6-8.

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