Binomial Theorem
4 solved problems from JEE previous year papers.
Binomial Theorem
Binomial (1+x)^(n+4): 5th, 6th, 7th Coefficients in AP, Find Largest Coefficient
For some n≠10, the 5th, 6th and 7th coefficients of (1+x)^(n+4) are in AP. Find n, then the largest coefficient of the expansion.
Permutations and Combinations
Sum of nCr/(r+1) From r=0 to n
A step-by-step derivation of the summation of nCr/(r+1) from r=0 to n, using the identity that turns each term into a binomial…
Binomial Theorem
The Remainder When 2021^2023 Is Divided by 7
Find the remainder when (2021)^2023 is divided by 7 — a modular arithmetic problem solved by reducing the base first, then…
Binomial Theorem
If Σr²(³⁰Cᵣ)²/(³⁰Cᵣ₋₁)=α·2²⁹ From r=1 to 30, Find α
A JEE Main 2025 binomial coefficient summation simplified by rewriting the ratio of consecutive coefficients, then splitting into…