Home
Class 11
MATHS
In a binomial expansion (1 + x)^n is a p...

In a binomial expansion `(1 + x)^n` is a positive integer, the coefficients of 5th, 6th and 7th terms are in A.P., then the value of n is :

A

7

B

5

C

3

D

10

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|221 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

Similar Questions

Explore conceptually related problems

In the binomial expansion of (1+x)^34 , the coefficients of the (2r-1)th and the (r-5)th terms are equal. Find r.

If the coefficients of 5th, 6th , and 7th terms in the expansion of (1+x)^n are in A.P., then n=

In the binomial expansion of (a - b)^n , n ge 5 the sum of the 5th and 6th term is zero , then find a/b

In the binomial expansion of (a -b)^n, nge5 , the sum of the 5th and 6th terms is zero. Then a/b equals :

Find the 10th term of an AP whose 7th and 12th terms are 34 and 64.

The 6th term of a G.P. is 32 and its 8th term is 128, then the value of the common ratio is :

For what value of m, the coefficients of (2m + 1)^(th) and (4m+5)^(th) terms in the expansion of (1 + x)^10 are equal ?

If the 2nd , 5th and 9th terms of a non-constant A.P are in G.P then the common ratio of this G.P is

Find the value of r if the coefficients of (2r+4)th and (r - 2) th term in the expansion of (1+ x)^18 are equal.

Find the second term and nth term of an A.P. whose 6th term is 12 and 8th term is 22.

MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. The coefficient of the term independent of x in (2x-3/x)^6 is :

    Text Solution

    |

  2. The fourth term in the binomial expansion of (x^2-1/x^3)^n is independ...

    Text Solution

    |

  3. In a binomial expansion (1 + x)^n is a positive integer, the coefficie...

    Text Solution

    |

  4. If the three consecutive coefficients in the expansion of (1 + x)^n ar...

    Text Solution

    |

  5. Let (1 + x)^n= C0+C1x+C2x^2+.....+Cn x^n and C1/C0+2 C2/C1+3 C3/C2+......

    Text Solution

    |

  6. In the expansion of (x +a)^n, the sums of the odd and the even terms a...

    Text Solution

    |

  7. The 5th term from the end in the expansion of (x^3/2-2/x)^12 is :

    Text Solution

    |

  8. In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...

    Text Solution

    |

  9. The value of C (47, 4) + underset (r=1) overset (5) sum (52-r,3) is:

    Text Solution

    |

  10. 7^9+9^7 is divisible by :

    Text Solution

    |

  11. Find the term independent of x in the expansion of : ((x+1)/(x^(2//3)-...

    Text Solution

    |

  12. Product of any r consecutive natural numbers is always divisible by :

    Text Solution

    |

  13. If C0,C1,C2,........, Cn denote the coefficients in the expansion of (...

    Text Solution

    |

  14. A polygon has 44 diagonals. The number of the sides is :

    Text Solution

    |

  15. Find 'a' if the coefficients of x^(2) and x^(3) in the expanion of (3 ...

    Text Solution

    |

  16. Using binomial theorem. the value of (0.999)^3,correct to 3 decimal pl...

    Text Solution

    |

  17. The coefficient of x^n, where n is any positive integer, in the expans...

    Text Solution

    |

  18. If ""^(2n+1)P(n-1): ""^(2n-1)Pn =3:5 then the value of n equals :

    Text Solution

    |

  19. If|x|<1, then the coefficient of x^6 in the expansion of (1+x + x^2)^-...

    Text Solution

    |

  20. ""^15C0.""^5C5+""^15C1.""^5C4+""^15C2.""^5C3+ ""^15C3.^5C2+""^15C4.""^...

    Text Solution

    |