Home
Class 12
MATHS
In the expansion of (1 + x)^43 ,the co-e...

In the expansion of `(1 + x)^43` ,the co-efficients of `(2r + 1)th and (r + 2)th` terms are equal. Find `r`.

Promotional Banner

Topper's Solved these Questions

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos
  • Application of dy/dx

    A DAS GUPTA|Exercise Exercise|45 Videos
  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

Similar Questions

Explore conceptually related problems

If in the expansion of (1 + x)^(20) , the coefficients of r^(th) and (r +4)^(th) terms are equal, then the value of r,is

In the expansion of (1+a)^(34) , if the cofficient of (r-5)^(th) and (2r-1)^(th) terms are equal , then find value of r.

If in the expansion of (1+x)^(15), the coefficients of (r+3)^(th) and (r-1)^(th) terms are equal then the value of r is a.5 b.6 c.4 d.

In the expansion of (X+y)^(n) , the coefficients of the 17th and the 13th terms equal. Find the numbher of term in the expansion

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

Consider the expansion of (1 + x)^(2n+1) If the coefficients of x^(r) and x^(r+1) are equal in the expansion, then r is equal to

A DAS GUPTA-Binomial Theorem for Positive Integrel Index-Exercise
  1. The value of x in the expression (x+x^((log)(10)))^5 if third term in ...

    Text Solution

    |

  2. Prove that the coefficient of the middle term in the expansion of (1+x...

    Text Solution

    |

  3. In the expansion of (1 + x)^43 ,the co-efficients of (2r + 1)th and (r...

    Text Solution

    |

  4. Prove that in the expansion of (1+x)^(2n), the coefficient of x^n is d...

    Text Solution

    |

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

    Text Solution

    |

  6. Given positive integers r>1,n> 2, n being even and the coefficient of...

    Text Solution

    |

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

    Text Solution

    |

  8. If a,b,c be the three consecutive coefficients in the expansion of a p...

    Text Solution

    |

  9. If a,b,c and d are any four consecutive coefficients in the expansi...

    Text Solution

    |

  10. If a,b,c and d are any four consecutive coefficients in the expansi...

    Text Solution

    |

  11. If the four consecutive coefficients in any binomial expansion be a, b...

    Text Solution

    |

  12. Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...

    Text Solution

    |

  13. If n be a positive integer then prove that the integral part P of (5+2...

    Text Solution

    |

  14. If (9+4sqrt5)^n=p+beta where n and p are positive integers and beta is...

    Text Solution

    |

  15. Integer just greater tehn (sqrt(3)+1)^(2n) is necessarily divisible by...

    Text Solution

    |

  16. The greatest coefficient in the expansion of (1+x)^(2n) is

    Text Solution

    |

  17. If x=1//3, find the greatest tem in the expansion of (1+4x)^8dot

    Text Solution

    |

  18. Find the numerically greatest term in the expansion of (3-2x)^9 when x...

    Text Solution

    |

  19. Find the value of the greatest term in the expansion of sqrt3(1+frac{1...

    Text Solution

    |

  20. In the expansion of (x+a)^15, if the eleventh term is the geometric me...

    Text Solution

    |