Скачать или смотреть This Beautiful Series Has a Fibonacci Pattern! | JEE | Factorial’s Question of the Day

This Beautiful Series Has a Fibonacci Pattern! | JEE | Factorial’s Question of the Day

🧠 In this video, we explore a beautiful infinite series involving the Fibonacci numbers and powers of 2:

If (p/q) denotes the sum of the infinite series:
1/2 + 1/4 + 2/8 + 3/16 + 5/32 + 8/64 + 13/128 + ...,
where p and q are relatively prime positive integers,
then what is the value of (p + q) / (p - q)?

We break this down step-by-step using series tricks and Fibonacci identities!

📌 Final Answer: 3
📘 This is a classic conceptual series question that’s often overlooked in JEE and olympiad prep.

🔔 Subscribe for more insightful math and JEE content

📲 Join the Factorial Academy Telegram for doubts & updates: https://t.me/factorialacademy

#JEEAdvanced #InfiniteSeries #Fibonacci #FactorialAcademy #MathTricks #IITJEE #jeeadvanced2026 #jee2026