Home
Class 11
MATHS
Find a, b and n in the expansion of (a+b...

Find a, b and n in the expansion of `(a+b)^n` if the first three terms of the expansion are 729, 7290 and 30375, respectively.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    PSEB|Exercise EXERCISE|54 Videos

Similar Questions

Explore conceptually related problems

Find an approximation of (0.99)^5 using the first three terms of its expansion.

Find an approximation of (0.99)^5 using the first three terms of its expansions.

The first three terms in the expansion of a binomial are 1, 10 and 40. Find the expansion.

Find the rth term from the end in the expansion of (x+a)^n .

Find the middle term in the expansion of : (1/2a+1/3b)^8 .

If the fourth term in the expansion of (a x+1/x)^n is 5/2 , then find the values of a and n.

Find the middle term in the expansion of : (a/x+\ b x)^(12)

Find the middle terms in the expansion of:- (3- x^3/6)^7

PSEB-BINOMIAL THEOREM-EXERCISE
  1. Write the general term in the expansion of (x^2 - y)^6

    Text Solution

    |

  2. Write the general term in the expansion of (x^2 - yx)^12 , x ne 0.

    Text Solution

    |

  3. Find the 4th term in the expansion of (x-2y)^12.

    Text Solution

    |

  4. Find the 13th term in the expansion of (9x-1/(3sqrtx))^18, x ne 0.

    Text Solution

    |

  5. Find the middle terms in the expansion of:- (3- x^3/6)^7

    Text Solution

    |

  6. Find the middle terms in the expansion of:- (x/3+9y)^10.

    Text Solution

    |

  7. In the expansion of (1 + a)^(m+n), prove that coefficients of a^m and ...

    Text Solution

    |

  8. The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...

    Text Solution

    |

  9. Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...

    Text Solution

    |

  10. Find a positive value of m for which the coefficient of x^2 in the exp...

    Text Solution

    |

  11. Find a, b and n in the expansion of (a+b)^n if the first three terms o...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the coefficient of x^5 in the product (1 + 2x)^6 (1 -x)^7 using b...

    Text Solution

    |

  14. If a and b are distinct integers, prove that a- b is a factor of a^n -...

    Text Solution

    |

  15. Evaluate (sqrt3+sqrt2)^6 - (sqrt3-sqrt2)^6.

    Text Solution

    |

  16. Find the value of (a^2+ sqrt(a^2-1))^4 + (a^2- sqrt(a^2-1))^4.

    Text Solution

    |

  17. Find an approximation of (0.99)^5 using the first three terms of its e...

    Text Solution

    |

  18. Find n,if the ratio of the fifth term from the beginning to the fifth ...

    Text Solution

    |

  19. Expand using Binomial Theorem (1+x/2-2/x)^4, x ne 0.

    Text Solution

    |

  20. Find the expansion of (3x^2 -2ax+ 3a^2)^3 using binomial theorem.

    Text Solution

    |