Home
Class 11
MATHS
If the coefficients of rth, (r + 1)th an...

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.`

Promotional Banner

Similar Questions

Explore conceptually related problems

If the coefficients of rth, (r+ 1)th and (r + 2)th terms in the expansion of (1 + x)^(1//4) are in AP, then r is /are

If the coefficients of (2r + 4)th, (r - 2)th terms in the expansion of (1 + x)^18 are equal, find r.

If the coefficients of (2r+4)th and (r-2)th terms in the expansion of (1+x)^(18) are equal.Find r?

If the coefficients of the 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

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