Home
Class 12
MATHS
(i) What is the second term in the expan...

(i) What is the second term in the expansion of `(1 + x)^(n)`?
(ii) Write the `3^(rd)` and `4^(th)` terms in the expansion of `(1 + x)^(n)`.
(iii) If the coefficients of `2^(nd)`, `3^(rd)` and `4^(th)` terms in the expansion of `(1 + x)^(n)` are in A.P, then show that `n^(2) - 9n + 14 = 0`.

A

130

B

120

C

128

D

125

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|25 Videos

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (LAB Work )|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

Similar Questions

Explore conceptually related problems

If the coefficient of the 2^(nd) , 3^(rd) and 4^(th) terms in the expansion of (1 + x)^(n) are in A.P, then n=

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

If the coefficients of (r-5)^th and (2r - 1)^th terms in the expansion of (1 + x)^34 are equal, find r.

If the coefficients of the r^(th) term and the (r + 1)^(th) term in the expansion of (1 + x)^(20) are in the ratio 1:2 , then r is equal to

If the coefficients of 5th, 6th , and 7th terms in the expansion of (1+x)^n are in A.P., then n= a. 7 only b. 14 only c. 7 or 14 d. none of these

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
  1. If (2x^(2) - x - 1)^(5) = a(0) + a(1)x + a(2)x^(2) + ....... + a(10)x^...

    Text Solution

    |

  2. If (1 + x - 3x^(2))^(10) = a(0) + a(1)x + a(2)x^(2) + ....... + a(20)x...

    Text Solution

    |

  3. (i) What is the second term in the expansion of (1 + x)^(n)? (ii) Wr...

    Text Solution

    |

  4. The coefficient of a^(5)b^(6)c^(7) in the expansion of (bc + ca + ab)^...

    Text Solution

    |

  5. If the expansion of (3sqrt(x)/7 - 5/(2xsqrt(x)))^(13n) contains a term...

    Text Solution

    |

  6. Prove that ""^(10)C(2)+2xx^(10)C(3)+^(10)C(4)=^(12)C(4)

    Text Solution

    |

  7. Let f (x) = [x] , where [x] denotes the greater integer less t...

    Text Solution

    |

  8. If ninN,"then "3^(2n+2)-8n-9 is divisible by

    Text Solution

    |

  9. Let T(n) denote the number of triangles which can be formed by using t...

    Text Solution

    |

  10. The coefficient of the middle term in the expansion of (x + 2y)^(6) is

    Text Solution

    |

  11. Let (1 + x)^(n) = 1 + a(1)x + a(2)x^(2) + ... + a(n)x^(n). If a(1),a(2...

    Text Solution

    |

  12. If the sum of the coefficients in the expansion of (a^(2)x^(2) - 6ax +...

    Text Solution

    |

  13. The sum of coefficients in the expansion of (x^(2) - 1/3)^(199) xx (x^...

    Text Solution

    |

  14. If (1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...... + a^(n)x^(n), then the ...

    Text Solution

    |

  15. Which one of the following is true?

    Text Solution

    |

  16. When 2^(1505) is divided by 9, the remainder is

    Text Solution

    |

  17. The term independent of x in the expansion of (x + 1/x^())^(6) is

    Text Solution

    |

  18. The sum of coefficitents in the expansion of (1 + 3x -3x^(2))^(1143) i...

    Text Solution

    |

  19. The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal t...

    Text Solution

    |

  20. Let t(n) denote the n^(th) term in a binomial expansion. If t(6)/t(5) ...

    Text Solution

    |