Congratulations to one of the most brilliant young minds in the Brilliant community for passing the PMO Area Stage Qualifiers - @Sean Anderson Ty. I say that this is a great feat for there are many who had the chance but wasn't able to qualify (Yep, I'm talking about me) He also lives/studies in the same city as I am, so I am proud that maybe one of ours is going to be part of IMO.  As a gift, I give these Fibonacci problems (Who doesn't like proving?) 1) Let $$m$$ and $$n$$ be positive integers. Prove that, if $$m$$ is divisible by $$n$$, then, $$f_{m}$$ is divisible by $$f_{n}$$.  2) Let $$m$$ and $$n$$ be positive integers whose greatest common divisor is $$d$$. Prove that the greatest common divisor of the Fibonacci numbers $$f_{m}$$ and $$f_{n}$$ is the Fibonacci number $$f_{d}$$

Note by Marc Vince Casimiro
4 years, 1 month ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

- 4 years, 1 month ago

@Sean Ty Congrats!

Staff - 4 years, 1 month ago