If the coefficient of `pth, (p+1)th`and ` (p+2)th` terms in the expansion of `(1+x)^n` are in `A.P`

If the coefficient of pth,(p+1)thand(p+2)th terms in the expansion of (1+x)^(n) are in A.P

If the coefficient of the rth, (r+1)th and (r+2)th terms in the expansion of (1+x)^(n) are in A.P., prove that n^(2) - n(4r +1) + 4r^(2) - 2=0 .

If the coefficient of the rth, (r+1)th and (r+2)th terms in the expansion of (1+x)^(n) are in A.P., prove that n^(2) - n(4r +1) + 4r^(2) - 2=0 .

If the coefficients of the pth , (p+1)and (p+2) terms in the expansions of (1+x)^(n) are in A.P , show that , n^(2)-n(4p+1)+4p^(2)-2=0

If the coefficients of 5^(th), 6^(th) and 7^(th) terms in the expansion of (1+x)^(n) are in A.P. then n =

If the coefficient of rth, (r+1)th and (r+2)th terms in the binomial expansion of (1+y)^(m) are in A.P. then m and r satisfy the equation: