Math 113 Exam #1 questions n
answers graded A+ 2025/2026
How to create the Fibonacci Sequence - correct answer ✔✔Begin with 1,1 then add the 2
consecutive numbers to get the next term: 1, 1, 2, 3, 5, 8, 13, ...
Fibonacci Formula - correct answer ✔✔Fn = Fn-1 + Fn-2
Fibonacci Sequence named after? - correct answer ✔✔Leonardo of Pisa known as Fibonacci
("son of Bonacci"), an Italian mathematician from the 1200s
To create the ratios of Fibonacci numbers, do what? - correct answer ✔✔Take the second
#/larger # and put it over the first
What number do the sequence of Fibonacci ratios continue to get closer to? - correct answer
✔✔approx. 1.62
What is the name for this sequence: 2, 1, 3, 4, 7, 11, ... - correct answer ✔✔Lucas Sequence
The Golden Ratio Identity - correct answer ✔✔φ = 1 + (1/φ)
What does φ equal? - correct answer ✔✔φ = (1 + rad5)/2, or approx. 1.618
What is the theorem on writing sums of Fibonacci Numbers? - correct answer ✔✔Every natural
number (so not 0) is either Fibonacci or is expressible uniquely as a sum of distinct,
nonconsecutive Fibonacci numbers.
answers graded A+ 2025/2026
How to create the Fibonacci Sequence - correct answer ✔✔Begin with 1,1 then add the 2
consecutive numbers to get the next term: 1, 1, 2, 3, 5, 8, 13, ...
Fibonacci Formula - correct answer ✔✔Fn = Fn-1 + Fn-2
Fibonacci Sequence named after? - correct answer ✔✔Leonardo of Pisa known as Fibonacci
("son of Bonacci"), an Italian mathematician from the 1200s
To create the ratios of Fibonacci numbers, do what? - correct answer ✔✔Take the second
#/larger # and put it over the first
What number do the sequence of Fibonacci ratios continue to get closer to? - correct answer
✔✔approx. 1.62
What is the name for this sequence: 2, 1, 3, 4, 7, 11, ... - correct answer ✔✔Lucas Sequence
The Golden Ratio Identity - correct answer ✔✔φ = 1 + (1/φ)
What does φ equal? - correct answer ✔✔φ = (1 + rad5)/2, or approx. 1.618
What is the theorem on writing sums of Fibonacci Numbers? - correct answer ✔✔Every natural
number (so not 0) is either Fibonacci or is expressible uniquely as a sum of distinct,
nonconsecutive Fibonacci numbers.
