incorporate forum suggestions

Author: tasxatzial

exercises/collatz-conjecture/introduction.md

@@ -1,26 +1,28 @@
 # Introduction
 
-One evening, we found an old notebook filled with scribbles, like someone had been chasing a strange idea.
-On one page, there was a single question: **Can every number find its way to 1?**
-It was tied to something called the Collatz Conjecture, a puzzle that has baffled thinkers for decades.
+One evening, you stumbled upon an old notebook filled with cryptic scribbles, as though someone had been obsessively chasing an idea.
+On one page, a single question stood out: **Can every number find its way to 1?**
+It was tied to something called the **Collatz Conjecture**, a puzzle that has baffled thinkers for decades.
 
-The rules seemed simple.
+The rules were deceptively simple.
 Pick any positive integer:
 
 * If it's even, divide it by 2.
 * If it's odd, multiply it by 3 and add 1.
 
 Then, repeat these steps with the result, continuing indefinitely.
 
-Curious, we picked number 12 to test and started the journey:
+Curious, you picked number 12 to test and began the journey:
 
 12 ➜ 6 ➜ 3 ➜ 10 ➜ 5 ➜ 16 ➜ 8 ➜ 4 ➜ 2 ➜ 1
 
 Counting from the second number (6), it took 9 steps to reach 1, and each time the rules repeated, the number kept changing.
-At first, the steps seemed unpredictable — jumping up, down, and all over.
-Yet the conjecture states that no matter the starting number, we'll always end at 1.
+At first, the sequence seemed unpredictable — jumping up, down, and all over.
+Yet, the conjecture claims that no matter the starting number, we'll always end at 1.
 
 It was fascinating, but also puzzling.
 Why does this always seem to work?
 Could there be a number where the process breaks down, looping forever or escaping into infinity?
-No one knows for sure.
+The notebook suggested solving this could reveal something profound — and with it, fame, [fortune][collatz-prize], and a place in history awaited whoever could unlock its secrets.
+
+[collatz-prize]: https://mathprize.net/posts/collatz-conjecture/