Let (1+x+x²)¹⁰ = a₀+a₁x+a₂x²+... | Binomial Theorem

JEE MAIN 2025

03-04-25 S2

Question

Let $\left(1+x+x^2\right)^{10}=a_0+a_1 x+a_2 x^2+\ldots+a_{20} x^{20}$. If $\left(a_1+a_3+a_5+\ldots+a_{19}\right)-11 a_2=121 k$, then $k$ is equal to $\_\_\_\_$

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Question Tags

JEE Main

Mathematics

Medium

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