Fibonacci Sequence Fun

Fibonacci Sequence Fun

Read each question carefully and answer to the best of your ability. Show your work where applicable.

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. It looks like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

1. The next three numbers in the Fibonacci sequence after 34 are: 34, 55,  ,  ,  .

2. If the first two numbers of a sequence are 2 and 3, the next three numbers in this modified Fibonacci sequence are: 2, 3,  ,  ,  .

3. Which of the following numbers is NOT a part of the standard Fibonacci sequence?

4. What is the sum of the first 5 Fibonacci numbers (starting with 0, 1, 1...)?

5. Explain in your own words how the Fibonacci sequence is generated.

6. The Fibonacci sequence only appears in mathematical problems and has no real-world applications.