Interesting Binomial Theorem Questions | Class 11 Mathematics Chapter 7

Unlock the power of the Binomial Theorem to tackle two challenging mathematical problems! In this video, we'll use this fundamental concept to explore exponential growth and number theory. First, we'll apply the theorem to compare (1.01)^1000000 with 100000, revealing the surprising strength of compound effects. Then, we'll use binomial expansion to prove that 6^n - 5n always leaves a remainder of 1 when divided by 25. Perfect for students, math enthusiasts, and anyone looking to deepen their understanding of combinatorics and its applications in various areas of mathematics.