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JEE Mains Short Trick • 100 Short Tricks for IIT JEE Struggling with complex Functional Equation problems in JEE? Learn the ultimate Short Trick (Trick 20) to solve the IIT JEE Mains 2023 PYQ on Functional Equations and Sum of Series in under a minute! This time-saver concept is absolutely crucial for both JEE Mains and JEE Advanced preparation, helping you save valuable seconds in the exam. This video breaks down a common problem type where the function $\text{f(x)}$ is determined from the equation $\text{f(x + y) = f(x) * f(y)}$, which leads to an exponential function. We then apply the geometric progression (GP) sum formula to find the number of terms $\text{n}$. Master this one concept and tackle similar questions with confidence! Topics Learned in this Video: IIT JEE Functional Equation: Recognizing the specific form $\text{f(x + y) = f(x) * f(y)}$ and identifying the corresponding exponential function $\text{f(x) = a power x}$. Geometric Progression Sum: Applying the formula for the sum of 'n' terms of a GP series to quickly solve the problem. Time Management for JEE: Using short tricks to easily solve complex questions within the time limit. JEE Mains 2023 PYQ Solution: Detailed, fast solution to a recent Previous Year Question. Timestamps for Quick Learning: Time Range Topic Covered 0:00 - 0:27 Introduction: The goal to solve the PYQ in under 1 minute using short tricks. 0:27 - 1:24 The Fast Approach: Quick calculation steps for the expert. 1:24 - 1:49 Series Announcement: Introduction to Short Trick Number 20. 1:49 - 2:30 The Main Short Trick: Deriving the exponential function from the functional equation. 2:30 - 3:25 Finding the Base of the Function: Determining $\text{a}$ using the given condition $\text{f(1)=3}$. 3:25 - 4:10 Converting the Summation to GP: Rewriting the problem as a sum of terms in Geometric Progression. 4:10 - 5:30 Final Solution & Formula: Applying the GP sum formula and finding the value of $\text{n}$. Check out the full playlist of 100 Short Tricks and Time Saver Concepts for IIT JEE Mains and Advanced in the channel description! #JEEMainsShortTrick #IITJEEMains2023 #JEEMainsAdvanced #FunctionalEquation #MathsShortcuts #JEEMaths #GPSeries #TimeSaverConcepts #RajaBhattJEE #JEEMainsPYQ