add find-nth-fibonacci mini project

Author: Syaw0

projects/find-nth-fibonacci/Cargo.toml

@@ -0,0 +1,6 @@
+[package]
+name = "find-nth-fibonacci"
+version = "0.1.0"
+edition = "2021"
+
+[dependencies]

projects/find-nth-fibonacci/src/main.rs

@@ -0,0 +1,24 @@
+// use std::{}
+
+// ============================================================================
+
+const GOLDEN_RATIO: f64 = 1.618033988749895; // known as φ (phi)
+
+fn main() {
+    // just clear the console for us
+    print!("\x1b[2J\x1b[1;1H");
+
+    let input = 6;
+
+    let nth_of_input = calculate_nth_fibonacci(input);
+
+    println!("the {input}th of fibonacci sequence is : {nth_of_input}");
+}
+
+fn calculate_nth_fibonacci(nth: u32) -> f64 {
+    let square_of_five: f64 = (5 as f64).sqrt();
+
+    let nth: f64 = nth.into();
+
+    (GOLDEN_RATIO.powf(nth) - (1.0 - GOLDEN_RATIO).powf(nth)) / square_of_five
+}