Mathematics in Our World
Worksheet 1.1 - Fibonacci Numbers
Name: ________________________Course/Section: _____________Score: __/50
I. Answer the following Fibonnaci problems below. (10 pts each)
The first fifteen Fibonacci numbers are: __________________________________
1. What sort of number is every fourth? __________________________________
2. Choose any three consecutive Fibonacci numbers. ______________________
a. Multiply the first by the third. ______________________
b. Square the second. ______________________
c. Repeat this for other groups of three.
__________________, ____________________, __________________
d. Write what you notice. _______________________________________
3. Choose any four consecutive Fibonacci numbers. ________________________
Multiply the first by the fourth. ________________________
Multiply the second by the third. ________________________
Repeat for other groups of four. _________, _________, ________, ________
Write what you notice. ______________________________________________
4. If T1 = the first term, T2 = the second term, T3 = the third term and so on:
a) Find the sum of the first four terms. _____ Compare the total with T6._______
b) Add the first five terms.______ Compare the total with T7. _______
c) Add the first six terms. ______ Compare the total with T8. ________
d) Without adding, find the sum of the first 12 terms. ______
5. Look at questions 2,3 and 4. Can you prove them?
