Home
Class 11
MATHS
Find the coefficient of x^n in the expan...

Find the coefficient of `x^n` in the expansion of `(1+x)(1+x)^ndot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|248 Videos

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA ENGLISH|Exercise All Questions|77 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^n in the expansion of (1+x)(1-x)^n is

Find the coefficient of x^8 in the expansion of (x^2-1/x)^(10)

Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

If n is a positive integer, find the coefficient of x^(-1) in the expansion of (1+x)^n(1+1/x)^ndot

Find the coefficient of \ x^m in the expansion of (x+1/x)^ndot

Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot

Find the coefficient of x^5 in the expansion of (1 + 2x)^6 (1-x)^7 .

The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

The coefficient of x^9 in the expansion of (1-5x)/(1+x) is

Find the coefficient of x^r in the expansion of 1 +(1 + x) + (1 + x)^2 +.......+ (1 + x)^n .

RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the term independent of x in the expansion of (3x^2-1/(2x^3))^(10...

    Text Solution

    |

  2. Find the coefficient of x^(50) after simplifying and collecting the li...

    Text Solution

    |

  3. Find the coefficient of x^n in the expansion of (1+x)(1+x)^ndot

    Text Solution

    |

  4. If a1,a2, a3, a4 be the coefficient of four consecutive terms in the e...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the coefficients of x^7 in (a x^2+1/(b x))^(11)and x^(-7)i n(a...

    Text Solution

    |

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

    Text Solution

    |

  8. If the middle term in the binomial expansion of (1/x+xsinx)^(10) is eq...

    Text Solution

    |

  9. Find the greatest value of the term independent of x in the expansion ...

    Text Solution

    |

  10. If o be the sum of odd terms and E that of even terms in the expansion...

    Text Solution

    |

  11. Using binomial theorem, expand {(x+y)^5+(x-y)^5}dot and hence find the...

    Text Solution

    |

  12. Using binomial theorem, prove that 2^(3n)-7n-1 is divisible by 49 , wh...

    Text Solution

    |

  13. Using binomial theorem, prove that (101)^(50)> 100^(50)+99^(50)dot

    Text Solution

    |

  14. Expand (x^2+2a)^5 by binomial theorem.

    Text Solution

    |

  15. Prove that sum(r=0)^n^n Cr3^r=4^n

    Text Solution

    |

  16. By using binomial theorem, expand: (1+x+x^2)^3

    Text Solution

    |

  17. If the third term in the expansion of (1/x+"""x"(log)(10 x))^5 is 1000...

    Text Solution

    |

  18. In the binomial expansion of (1+x)^n , coefficients of the fifth, sixt...

    Text Solution

    |

  19. In the binomial expansion of (a+b)^n , coefficients of the fourth and ...

    Text Solution

    |

  20. The value of term independent of x in (sqrt(x)+a/(x^2))^(10) is .

    Text Solution

    |