Home
Class 12
MATHS
If the coefficients of the pth , (p+1)a...

If the coefficients of the pth , `(p+1)and (p+2)` terms in the expansions of `(1+x)^(n)` are in A.P , show that , `n^(2)-n(4p+1)+4p^(2)-2=0`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise EXERCISE 8 (Multiple Choice Type Questions)|14 Videos
  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise EXERCISE (Very short answer Type Questions )|30 Videos
  • BINOMIAL DISTRUTION

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos
  • CALCULUS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2014)|2 Videos

Similar Questions

Explore conceptually related problems

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

If the coefficients of (p +1) th and (p+3)th terms in the expansion of (1+x)^(2n) be equal show that , p =n-1 .

If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x)^(2n) are in A.p., then prove that 2n^2-9n+7=0 .

If the first three terms in the expansion of (1+x)^(n) are in A .P . , prove that, n(n-1)x^(2)-4nx+2=0 .

Show that the sum of the coefficients of all odd terms in the expansion of (1+x)^(2p) is 2^(2p-1) .

If the coefficients of 2nd, 3rd and 4th terms of (1+x)^(2n) are in A.P., then n equals

If ,p,q,a,b are 6th,7th,8th and 9th term of the expansion of (x+r)^n ,then show that (q^2-ap)/(a^2-bq)=(4p)/(3a)

If a_(1),a_(2),a_(3)anda_(4) be the coefficients of four consecutive terms in the expansion of (1+x)^(n) , then prove that (a_(1))/(a_(1)+a_(2)),(a_(2))/(a_(2)+a_(3))and(a_(3))/(a_(3)+a_(4)) are in A.P.

Show that n(P(P(P( phi))))=4

If x^p occurs in the expansion of (x^2+1/x)^(2n) , prove that its coefficient is ((2n)!)/([1/3(4n-p)]![1/3(2n+p)]!) .