[" 6.If coefficients of "pth,(p+1)" th and "(p+2)" th terms in the expansion of "(1+x)^(n)" are in "],[" A.P then "]

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 coefficients of r^("th"),(r+1)^("th") and (r+2)^("nd") terms in the expansion of (1+x)^(n) are in A.P. then show that n^(2)-(4r+1)n+4r^(2)-2=0.

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

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 r^(th) ,( r +1)^(th) " and " (r +2)^(th) terms in the expansion of (1+x)^n are in A.P then show that n^2 - (4r +1)n + 4r^2 - 2 =0

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

If the coefficients of r^("th"),(r+1)^("th")and(r+2)^("th") terms in the expansion of (1+x)^(14) are in A.P ., then r is /are -