Home
Class 11
MATHS
Find the coefficient of x^(50) after sim...

Find the coefficient of `x^(50)` after simplifying and collecting the like terms in the expansion of `(1+x)^(1000)+x(1+x)^(999)+x^2(1+x)^(998)++x^(1000)dot`

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

Find the middle term in the expansion of (1+2x+x^(2))^(10)

Find the middle term in the expansion of (1+2x+x^(2))^(10)

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

Find the middle term in the expansion of (2x^2-1/x)^7

Find the middle term in the expansion of (2x^2-1/x)^7

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

Find the 7th term in the expansion of (3x^2-1/(x^3))^(10)dot

Find the 7th term n the expansion of (3x^2-1/(x^3))^(10)dot

Find the constant term in the expansion of (x-1//x)^6dot

Find the fourth term in the expansion of (1-2x)^(3//2)""dot

RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Prove that there is no term involving x^6 in the expansion of (2x^2-3...

    Text Solution

    |

  2. Find the term independent of x in the expansion of (3x^2-1/(2x^3))^(10...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |