Home
Class 12
MATHS
If the coefficients if three successive ...

If the coefficients if three successive terms in the expansion of `(1+x)^(n)` are 120 ,210 and 252 respectively . Find n .

Text Solution

Verified by Experts

The correct Answer is:
n = 10
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

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

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Integer Answer Type)|5 Videos

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise EXERCISE ( short answer Type Questions )|53 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

If the coefficients of three successive terms in the expansion of (1+x)^(n) be a ,b and c respectively , then show that , n=(2ac+b(a+c))/(b^(2)-ac)and(a(b+c))/(b^(2)-ac)= no. of the terms has coefficients a .

The coefficient of the middle term in the expansion of (1+x)^(2n) is

The coefficient of the middle term of the expansion of (1-2x+x^2)^n is

Determine: nth term in the expansion of (x+1/x)^(2n)

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

The sum of the coefficients of the terms of the expansion of (3x-2y)^n is

If the 2nd ,3rd and 4th terms in the expansion of (x+a)^(n) are 240 ,720and 1080 respectively , find x a and n .

If the coefficients of three consecutive terms in the expansion of (1+x)^n are in the ratio 1:7:42, then find the value of ndot

The coefficient of three consecutive terms in the expansion of (1+x)^n are a, b, c respectively prove that (2ac+b(a+c))/(b^2-ac)=n .

If the coefficient of 4th term in the expansion of (a+b)^n is 56, then n is

CHHAYA PUBLICATION-BINOMIAL THEOREM -EXERCISE ( Long answer Type Questions )
  1. The coefficient of x^m in the extension (1+x)^(m+n)

    Text Solution

    |

  2. The coefficients of 5th ,6th and 7th terms in the expansion of (1+x)^...

    Text Solution

    |

  3. If the coefficients if three successive terms in the expansion of (1+...

    Text Solution

    |

  4. If the 2nd ,3rd and 4th terms in the expansion of (x+a)^(n) are 240 ,7...

    Text Solution

    |

  5. The three successive of the consecutive three terms in the expansion o...

    Text Solution

    |

  6. If the coefficients of the consicutive four terms in the expansion of ...

    Text Solution

    |

  7. If n be a positive integer and if the 3rd , 4th , 5th and 6th terms in...

    Text Solution

    |

  8. Find the coefficient of x^(r) in the following expression : (x+n)^(...

    Text Solution

    |

  9. If the first three terms in the expansion of (1+x)^(n) are in A .P . ,...

    Text Solution

    |

  10. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(1)...

    Text Solution

    |

  11. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(1)...

    Text Solution

    |

  12. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(0...

    Text Solution

    |

  13. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(0...

    Text Solution

    |

  14. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(0)...

    Text Solution

    |

  15. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(0)...

    Text Solution

    |

  16. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(1...

    Text Solution

    |

  17. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(0...

    Text Solution

    |

  18. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(1)...

    Text Solution

    |

  19. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(0)...

    Text Solution

    |

  20. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(0)...

    Text Solution

    |