Home
Class 11
MATHS
In the expansion of (1+x)^n the binomial...

In the expansion of `(1+x)^n` the binomial coefficients of three consecutive terms are respectively 220, 495 and 792 find the value of `n`.

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( n \) in the expansion of \( (1+x)^n \) given that the binomial coefficients of three consecutive terms are 220, 495, and 792. ### Step-by-Step Solution: 1. **Identify the Binomial Coefficients**: Let the three consecutive terms be represented as: \[ \binom{n}{r-1} = 220, \quad \binom{n}{r} = 495, \quad \binom{n}{r+1} = 792 ...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|248 Videos
  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos

Similar Questions

Explore conceptually related problems

If in the expansion of (1+x)^(n) the coefficient of three consecutive terms are 56,70 and 56, then find n and the position of the terms of these coefficients.

If binomial coeffients of three consecutive terms of (1 + x )^(n) are in H.P., then the maximum value of n, is

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 n.

If the coefficient so three consecutive terms in the expansion of (1+x)^(n) be 76,9 and 76 find n .

In the expansion of (x+y)^(n) ,if the binomial coefficient of the third term is greater by 9 then that of the second term,then the sum of the binomial coefficients of the terms occupying to odd places is

If the coefficients of three consecutive terms in the expansion of (1 + x)^(n) are 165,330 and 462 respectively , the value of n is is

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find a if the coefficients of x^2 and x^3 in the expansion of (3+a ...

    Text Solution

    |

  2. Find the coefficient of a^4 in the product (1+2a)^4(2-a)^5 using binom...

    Text Solution

    |

  3. In the expansion of (1+x)^n the binomial coefficients of three consecu...

    Text Solution

    |

  4. If in the expansion of (1+x)^n the coefficient of three consecutive te...

    Text Solution

    |

  5. If in any binomial expansion a, b, c and d be the 6th, 7th, 8th and 9t...

    Text Solution

    |

  6. If the coefficients of three consecutive terms in the expansion of (1+...

    Text Solution

    |

  7. If the 6th, 7th, 8th terms in the expansion of (x+ a)^n be 112, 7 and ...

    Text Solution

    |

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

    Text Solution

    |

  9. Find a, b and n in the expansion of (a+b)^n if the first three t...

    Text Solution

    |

  10. If p is a real number and if the middle term in the expansion of (p/2+...

    Text Solution

    |

  11. Write the number of terms in the expansion of (2+sqrt(3)x)^(10)+(2-sqr...

    Text Solution

    |

  12. Write the middle term in the expansion of ((2x^2)/3+3/(2x^2))^(10)dot

    Text Solution

    |

  13. Which term is independent of x in the expansion of (x-1/(3x^2))^9?

    Text Solution

    |

  14. If a\ a n d\ b denote respectively the coefficients of x^m a n d\ x^n ...

    Text Solution

    |

  15. Write the middle term in the expansion of (x+1/x)^(10)dot

    Text Solution

    |

  16. If a\ a n d\ b denote the sum of the coefficients in the expansions of...

    Text Solution

    |

  17. Write the coefficient of the middle term in the expansion of (1+x)^(2n...

    Text Solution

    |

  18. Find the sum of the coefficient of two middle terms in the binomial ...

    Text Solution

    |

  19. If a\ a n d\ b are the coefficients of x^n in the expansions of (1+x)^...

    Text Solution

    |

  20. The total number of terms in the expansion of (x+a)^100+(x-a)^100 is:

    Text Solution

    |