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

If the coefficient of the 2^(nd) , 3^(rd) and 4^(th) terms in the expansion of (1 + x)^(n) are in A.P, then n=

If the coefficients of second, third and fourth terms in the expansion of (1+x)^(2 n) are in A.P, then,

If the coefficients of second, third and fourth terms in the expansion of (1 + x)^(2n) are in A.P., show that 2n^(2) - 9n + 7=0 .

If the coefficient of second, third and fourth terms in the expansion of (1+x)^(2n) are in A.P. then show that 2n^(2)-9n=-7 .

If the coefficient of 2nd, 3rd and 4th terms in the expansion of (1+x)^(2n) are in A.P. , show that 2n^2-9n+7=0.