Home
Class 11
MATHS
The first three terms in the expansion o...

The first three terms in the expansion of `(1+a x)^n(n!=0)` are `1,6x and 16 x^2dot` Then find the value of `a and ndot`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

The first three terms in the expansion of (1+ ax) ^(n) are 1, 6x and 16x^(2), then the values of a and n are -

The first three terms in the binomial expansion of (x+y)^n are 1,56 and 1372 respectively. Find the values of x and y.

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

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

Find the fourth term in the expansion of (1-2x)^(3//2)""dot

The middle term in the expansion of (1-3x+3x^2-x^3)^(2n) 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 ndot

Find the constant term in the expansion of (x-1/x)^6dot

Find the third term in the expansion of (1-2x)^(3//2)""dot

If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N is 15, then find the value of n .

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Show that the middle term in the expansion of (x+1)^(2n) is (1.3.5.......

    Text Solution

    |

  2. If the middle term in the expansion of (x^2+1//x)^n is 924 x^6 , then...

    Text Solution

    |

  3. The first three terms in the expansion of (1+a x)^n(n!=0) are 1,6x and...

    Text Solution

    |

  4. If x^4 occurs in the rth term in the expansion of (x^4+1/(x^3))^(15), ...

    Text Solution

    |

  5. Find the coefficient of x^(-10) in the expansion of (a/x+b x)^(12) .

    Text Solution

    |

  6. Find the constant term in the expansion of (x-1/x)^6dot

    Text Solution

    |

  7. If the coefficients of (r-5) th and(2r-1) th terms in the expansion of...

    Text Solution

    |

  8. In ( 2^(1/3)+1/3^(1/ 3))^n if the ratio of 7th term from the beginnin...

    Text Solution

    |

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

    Text Solution

    |

  10. If p and q are positive, then prove that the coefficients of x^p and x...

    Text Solution

    |

  11. Find the number of irrational terms in the expansion of (5^(1//6)+2^(1...

    Text Solution

    |

  12. If x^p occurs in the expansion of (x^2+1/x)^(2n) , prove that its coef...

    Text Solution

    |

  13. The co-efficient of a^(3)b^(4)c^(5) in the expansion of (bc+ca+ab)^(6)...

    Text Solution

    |

  14. The coefficient of x^7 in the expansion of (1-x-x^2+x^3)^6 is

    Text Solution

    |

  15. If the number of terms in the expansion of (x+y+z)^n are 36, then find...

    Text Solution

    |

  16. The coefficient of a^3b^4c in the expansion of (1+a-b+c)^9 is equal to

    Text Solution

    |

  17. The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is

    Text Solution

    |

  18. Find the number of terms which are free from radical signs in the e...

    Text Solution

    |

  19. Find the coefficient of x^5 in the expression of (1+x^2)^5(1+x)^4.

    Text Solution

    |

  20. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

    Text Solution

    |