If the \(5^{\text {th }}, 6^{\text {th }}\) and \(7^{\text {th }}\) term of the binomial expansion of \(\left(1+x^2\righ…

If the \(5^{\text {th }}, 6^{\text {th }}\) and \(7^{\text {th }}\) term of the binomial expansion of \(\left(1+x^2\right)^{n+4}\) are in A.P. Then the greatest binomial coefficient in the expansion of \(\left(1+x^2\right)^{n+4}\) is(\(\mathrm{n}\neq 10\)) (24 Jan, Shift I, Memory Based)