`n`th term in the expansion of `(x + 1/x)^(2n)`

If the 4 th term in the expansion of (a x + (1)/(x))^(n) is (5)/(2) , for all x in R then the values of a and n are respectively

If the coefficient of (3r)^(th) and (r + 2)^(th) terms in the expansion of (1 + x)^(2n) are equal then n =

If the coefficient of (3r)^(th) and (r + 2)^(th) terms in the expansion of (1 + x)^(2n) are equal then n =

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

how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of (1+x)^(n)

If the coefficient of (r +1)^(th) term in the expansion of (1 +x)^(2n) be equal to that of (r + 3)^(th) term , then

If the coefficient of (p+1) th term in the expansion of (1+x)^(^^)(2n) be equal to that of the (p+3) th term,show that p=n-1