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

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.

Text Solution

Verified by Experts

Given
`T_{1}=729, T_{2}=7290` and `T_{3}=30375`
Now,
`\ ^{n} C_{0} a^{n} b^{0}=729 `
...
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

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

If the first three terms in the expansion of (1+ax)^(n) are 1,8x,24x^(2) respectively,then a=

Find the middle term in the expansion of (1+x)^(2n)

Find the number of terms in the expansion of (a+b+c)^(n).

Find a if the and and terms of the expansion terms of the expansion are equal.

If the first three terms in the expansion of (a + b)^(n) are 27, 54 and 36 respectively, then find a, b and n.

If the first three terms in the expansion of (1+ax)^n are 1,12 x , 64x^2 , find 'n' and 'a'

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. If the 6th, 7th, 8th terms in the expansion of (x+ a)^n be 112, 7 and ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Write the coefficient of the middle term in the expansion of (1+x)^(2n...

    Text Solution

    |

  12. Find the sum of the coefficient of two middle terms in the binomial ...

    Text Solution

    |

  13. If a\ a n d\ b are the coefficients of x^n in the expansions of (1+x)^...

    Text Solution

    |

  14. The total number of terms in the expansion of (x+a)^100+(x-a)^100 is:

    Text Solution

    |

  15. If (1-x+x^2)^n=a0+a1x+a2x^2++a(2n)x^(2n),\ find the value of a0+a2+a4...

    Text Solution

    |

  16. If the rth term in the expansion of (1+x)^20 has its coefficient equal...

    Text Solution

    |

  17. The term without x in the expansion (2x-1/(2x^2))^(12) is a. 495 b. -4...

    Text Solution

    |

  18. If rth term in the expansion of (2x^2-1/x)^(12) is without x then r is...

    Text Solution

    |

  19. If in the expansion of (a+b)^n\ a n d\ (a+b)^(n+3) , the ratio of the...

    Text Solution

    |

  20. If A and B are the sums of odd and even terms respectively in the expa...

    Text Solution

    |