Home
Class 12
MATHS
In the expansion of (1+x)^(20) , the coe...

In the expansion of `(1+x)^(20)` , the coefficient of the rth term is to that of the `(r+1)` th term is in ratio 1 : 2 . Find the value of r .

Text Solution

Verified by Experts

The correct Answer is:
7
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise EXERCISE ( Long answer Type Questions )|40 Videos

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Correct Answers Type)|5 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

In the expansion of (a+x)^(n) , find the coefficent of rth term from end.

In the expansion of (1+x)^n , coefficient of rth term from end is

In the expansion of (1+2 x +x^2)^20 , the no of-terms will be

In the expansion of (x^3-1/x^2)^15 ,find the constant term.

If in the expansion of (1+x)^43 the coefficient of (2r+1)^(th) term in equal to the coefficient of (r+2)^(th) term find r.

If in the expansion of (1+x)^(43) ,the coefficient of (3r+1)th term be equal to the coefficient of (3r+2)th term . Find show these that , r = 7 .

If in the expansion of (1+x)^(n) the coefficient of 2nd, 3rd and 4th terms are in A.P., then the value of n is-

If the co-efficient of the (3r+1) th term is equal to the co-efficient of (r + 5) th term of the expansion of (1 +x)^32 , find the value of r.

In the expansion of (3x^2-1/x^3)^10 :find the 7th term.

If the coefficients of the (r-1) th and (2r+3) th terms in the equation of (1+x)^(15) are equal, find the value of r.

CHHAYA PUBLICATION-BINOMIAL THEOREM -EXERCISE ( short answer Type Questions )
  1. If the 21st and 22nd terms in the expansion of (1+x)^(44) are equal , ...

    Text Solution

    |

  2. If the coefficient of x^(r)andx^(r+1) are equal in the expansion of (1...

    Text Solution

    |

  3. In the expansion of (1+x)^(20) , the coefficient of the rth term is to...

    Text Solution

    |

  4. If in the expansion of (1+x)^(43) ,the coefficient of (3r+1)th term be...

    Text Solution

    |

  5. prove that the coefficient of the (r +1)th term in the expansion of (...

    Text Solution

    |

  6. Show that the middle term in the expansion of (x+1)^(2n)" is " (1.3.5....

    Text Solution

    |

  7. Show that the coefficient of the middle term of (1+x)^(2m) is equal to...

    Text Solution

    |

  8. Show that the coefficient of the middle term in the expansion of (1+x...

    Text Solution

    |

  9. If the coefficients of (p +1) th and (p+3)th terms in the expansion of...

    Text Solution

    |

  10. Let n ge 5 b ne0, if in the binomial of (a-b)^(n), the sum of the 5th...

    Text Solution

    |

  11. If the coefficients of x^(2) and x^(11) in the expansion of (1+ax+2x^(...

    Text Solution

    |

  12. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of xandx^(...

    Text Solution

    |

  13. Use binomial theorem to show that if nge1 is an integer then , (a) ...

    Text Solution

    |

  14. n(gt1) is a positive integer . Show that 14^(n)-13n-1 is divisible by...

    Text Solution

    |

  15. For every natural number n(gt1) , show that , 4^(n)+15n-1 is divisible...

    Text Solution

    |

  16. If n is a positive integer (gt1) , show that, (4^(2n+2)-15n-16) is a...

    Text Solution

    |

  17. Using binomial theorem find the value : (0.999)^(4) [correct to thr...

    Text Solution

    |

  18. Using binomial theorem find the value : (1.02)^(4) [correct to two ...

    Text Solution

    |

  19. Write down the expansion of (4x-(y)/(4))^(4). By giving suitable valu...

    Text Solution

    |

  20. Prove that , (x^(n))/(n!)+(x^(n-1).a)/((n-1)!1!)+(x^(n-2).a^(2))/((n-2...

    Text Solution

    |