The sum of all possible values of n, so that the coefficients of x, x² and x³ in the expansion of (1+x²)²(1+x)ⁿ, are in arithmetic progression is:

Binomial Theorem and Its Simple Applications: JEE Main 2026 Mathematics question

JEE Main 2026 · 23 Jan, Morning shift · Q9

JEE Main 202623 Jan, Morning shiftMathematicsEasyBinomial Theorem and Its Simple Applications131× since 2002

The sum of all possible values of

n\in\mathbb{N}

, so that the coefficients of

x

x^2

and

x^3

in the expansion of

(1+x^2)^2(1+x)^n

, are in arithmetic progression is :