Problem
TxO Math Bowl 2024 - Individuals A - Problem 12
Let F_n be defined recursively such that F_n = F_{n-1} + F_{n-2} (the Fibonacci sequence), and F_1 = F_2 = 1.
Now define S_n such that:
S_n = \sum_{i=1}^{n} F_i^2
Find the least n such that 100 \mid S_n.
Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)
Problem feedback
Difficulty
—