The coefficients of the `(r-1)^(th),r^(th)` and `(r+1)^(th)` terms in the expansion of `(x+1)^n` are in the ratio `1:3:5` .Find n and r.

The coefficients of (r-1)^(t h),\ r t h\ a n d\ (r+1)^(t h) terms in the expansion of (x+1)^n are in the ratio 1:3:5. Find n\ a n d\ rdot

If the coefficients of (r-5)^(t h) and (2r-1)^(t h) terms in the expansion of (1+x)^(34) are equal, find r .

If the coefficient of (3r)^(th) and (r + 2)^(th) terms in the expansion of (1 + x)^(2n) are equal then n =

If the coefficients of (r-5)^(th) and (2r-1)^(t h) terms of the expansion (1+x)^(34) are equal, find r.

If the coefficient of (2r + 4)^(th) term and (r - 2)^(th) term in the expansion of (1 + x)^18 are equal then find r.

Let n be a positive integer . If the cofficients of rth (r +1) th and (r +2)th terms in the expansion of (1 + x)^(n) are in AP, then find the relation between n and r .

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

The coefficients of (2r +1) th and (r+2) th terms in the expansions of (1 +x)^(43) are equal. Find the value of r .

If the coefficients of (r-5)t h a n d(2r-1)t h terms in the expansion of (1+x)^(34) are equal, find rdot

If the coefficients of (2r + 1)th term and (r + 2)th term in the expansion of (1 + x)^(48) are equal,find r .