r and n are positive integers r > 1, n > 2 and coefficient of (r + 2)^(th) term and 3r^(th) term in the expansion of (1 + x)²ⁿ are equal, then n equals

Binomial Theorem and Its Simple Applications: JEE Main 2002 Mathematics question

JEE Main 2002 · Annual, Paper 1 · Q2965

JEE Main 2002Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

r

and

n

are positive integers

\,r > 1,\,n > 2

and coefficient of

\,{\left( {r + 2} \right)^{th}}

term and

3{r^{th}}

term in the expansion of

{\left( {1 + x} \right)^{2n}}

are equal, then

n

equals