Analyze the following number sequence: 0, 1, 1, 2, 3, 5, 8, 13...

Directions

Your mission, should you choose to accept it as this is voluntary extra credit, is to answer all three the following questions correctly:

(1) What are the next five numbers in the sequence?

(2) How do you derive the numbers in the sequence?

(3) What is the well known name for this sequence of numbers?

Please clearly identify and separate in your submission your three answers.