If the middle term of the expansion of `(1+x)^(2n)` is the greatest term then prove that x lies between `(n)/(n+ 1)" and " (n+ 1)/(n)`

The middle term in the expansioin of (1+x)^(2n) is

The middle term in the expansion of (x + 1/x)^(2n) is

If the middle term in the expansion of (1+x)^(2n) is the greatest term, then x lies in the interval

The middle terms in the expansion of (1+x)^(2n+1) is (are)

Show that , if the greatest term in the expansion of (1 + x)^(2n) has also the greatest coefficient then x lies between (n)/(n +1) " and" (n+1)/(n)

Find the middle term in the expansion of : (1-2x+x^2)^n

Find the middle term in the expansion of : (1+3x+3x^2+x^3)^(2n)

The middle term in the expansion of (1 - (1)/(x))^(n) (1 - x)^(n) is

Find the middle term in the expansion of (1+3x+3x^(2)+x^(3))^(2n)

If the middle term in the expansion of (x^(2)+1/x)^(2n) is 184756x^(10) , then the value of in is