Home
Class 11
MATHS
If the coefficients of 2nd, 3rd and 4th ...

If the coefficients of 2nd, 3rd and 4th terms in the expansion of `(1+x)^(n)` are in A.P. Then find the value of `n`.

Text Solution

Verified by Experts

`\ ^{n} C_{1},\ ^{n} C_{2}` and `\ ^{n} C_{3}`
We have:
`2 times\ ^{n} C_{2}=\ ^{n} C_{1}+\ ^{n} C_{3}`
Dividing both sides by `\ ^{n} C_{2}`, we get:
...
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 the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n),nN are in A.P. then n=7b.14c.2d .none of these

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

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

If the coefficient of pth,(p+1)thand(p+2)th terms in the expansion of (1+x)^(n) are in A.P

If the coefficient of pth,(p+1)thand(p+2)th terms in the expansion of (1+x)^(n) are in A.P

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Prove that the term independent of x in the expansion of (x+1/x)^(2n) ...

    Text Solution

    |

  2. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

    Text Solution

    |

  3. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1...

    Text Solution

    |

  4. If in the expansion of (1 + x)^n, the coefficients of pth and qth term...

    Text Solution

    |

  5. Find a if the coefficients of x^2 and x^3 in the expansion of (3+a ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |