Home
Class 12
MATHS
If the coefficient of rth, (r+1)^(th), a...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binomial expansion of (1+y)^m are in A.P., then prove that m^2-m(4r+1)+4r^2-2=0.

In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binomial expansion of (1+y)^m are in A.P., then prove that m^2-m(4r+1)+4r^2-2=0.

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

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 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 rth, (r + 1)th and (r + 2)th terms in the expansion of (1 + x)^n be in H.P. then prove that n is a root of the equation x^2 - (4r - 1) x + 4r^2 = 0.

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

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.

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

If the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the expansion of (1+x)^(14) are in A.P., then r is/are a. 5 b. 11 c. 10 d. 9