Home
Class 11
MATHS
The 3rd,4th and fifth terms in the expan...

The 3rd,4th and fifth terms in the expansion of `(x+a)^n` are 252, 1512, and 5670 respectively. Find the values of x,a & n.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

Similar Questions

Explore conceptually related problems

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.

If the 2nd, 3rd and 4th terms in the expansion of (x+a)^n are 240, 720 and 1080 respectively, find x \ and\ ndot

If the third , fourth and fifth terms in the expansion of (x+a)^(n) be 84 , 280 and 560 repectively , find x , a and n .

The 2^(nd),3^(rd)and4^(th) terms in the expansion of (x+a)^(n) are 240 ,720 and 1080 repectively . The value of (x-a)^(n) can be -

The second, third and fourth terms in the binomial expansion (x + a)^n are 240, 720 and 1080, respectively. Find x,a and n.

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

If the 2nd ,3rd and 4th terms in the expansion of (x+a)^(n) are 240 ,720and 1080 respectively , find x a and n .

If the sum of odd numbered terms and the sum of even numbered terms in the expansion of (x+a)^n are A and B respectively . Then the value of (x^2-a^2)^n is

In the expansion of (1+x)^n , 7th and 8th terms are equal. Find the value of ( 7/x +6)^2 .

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

PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
  1. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...

    Text Solution

    |

  2. If the coefficients of four consecutive terms in the expansion of (1+x...

    Text Solution

    |

  3. The 3rd,4th and fifth terms in the expansion of (x+a)^n are 252, 1512,...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...

    Text Solution

    |

  6. Show that the integral part of the value of (9+4sqrt5)^n is odd for po...

    Text Solution

    |

  7. If the 3rd, 4th. 5th and sixth term in the expansion of (x+alpha)^n ar...

    Text Solution

    |

  8. If coefficient of x^2 and x^11 are 27 and -192 respectively of (1+ax+2...

    Text Solution

    |

  9. Find the coefficient of x^5 in the expansion of (1+x)^21+(1+x)^22+...+...

    Text Solution

    |

  10. Determine the x-independent term in the expansion of (1+4x)^p(1+1/(4x)...

    Text Solution

    |

  11. For ninN , 2^(3n)-1 is divisible by

    Text Solution

    |

  12. For ninN , n^3+2n is divisible by

    Text Solution

    |

  13. ForninN , 3^(2n-1)+2^(n+1) is always divisible by

    Text Solution

    |

  14. For ninN 2^(3n)-7n-1 is always divisible by

    Text Solution

    |

  15. The greatest positive integer divides (n+1)(n+2)..........(n+r) is

    Text Solution

    |

  16. Applying the principle of mathematical induction (P.M.I.) prove that 1...

    Text Solution

    |

  17. Using mathematical induction show 7+77+777+......+n terms =7/81(10^(n+...

    Text Solution

    |

  18. Applying P.M.I. prove that x^n-y^n is always divisible by x+y where n...

    Text Solution

    |

  19. Applying the principle mathematical induction (P.M.I.) show that 5^(2n...

    Text Solution

    |

  20. Applying P.M.I. prove that (1+x)^n gt 1+nx where n is a pos integer an...

    Text Solution

    |