Home
Class 11
MATHS
If kr is the coefficient of y^(r - 1) i...

If `k_r` is the coefficient of `y^(r - 1) ` in the expansion of `(1 + 2y)^10` , in ascending powers of y , determine 'r' when ` (k_(r + 2))/(k_r) = 4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|9 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Let a_r denote the coefficient of y^(r-1) in the expansion of (1 + 2y)^(10) . If (a_(r+2))/(a_(r)) = 4 , then r is equal to

If the coefficient of 2r+4theand(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 t_r is the rth term is the expansion of (1+a)^n , in ascending power of a , prove that r (r +1) t_(r+2) = (n - r + 1) (n - r) a^2 t_r

If the coefficients of (2r +1)th and (4r + 5) th terms is the expansion of (1+x)^(10) are equal then r=?

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

Prove that the coefficient of x^(r) in the expansion of (1-2x)^(-(1)/(2)) is (2r!)/((2^(r))(r!)^(2))

If the coefficients of the (2r+4)th,(r-2)th term in the expansion of (1+x)^(18) are equal, then the value of r is.

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

Suppose k in R . Let a be the coefficient of the middle term in the expansion of (k/x+x/k)^(10) and b be the term independent of x in the expansion of ((k^(2))/x+x/k)^(10) . If a/b=1 , then k is equal to