mat 2025 Q26Y(iv)

mat · Uk Binomial Theorem (positive integer n) Find a Specific Coefficient in a Product of Binomial/Polynomial Expressions

Let $N$ be a whole number with $N > 1$. Find $$( 1 + x ) \cdot ( 1 + 2 x ) \cdot ( 1 + 3 x ) \cdot ( 1 + 4 x ) \cdot \ldots \cdot ( 1 + 2 N x )$$

Let $N$ be a whole number with $N > 1$. Find
$$( 1 + x ) \cdot ( 1 + 2 x ) \cdot ( 1 + 3 x ) \cdot ( 1 + 4 x ) \cdot \ldots \cdot ( 1 + 2 N x )$$