Home
Class 12
MATHS
Show that the middle term in the expansi...

Show that the middle term in the expansion of `(1+x)^(2n)" is "(1.3.5. ..(2n-1))/(n!)(2x)^(n).`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|10 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 3.1 (VERY SHORT ANSWER QUESTIONS)|44 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.4 (Level-2) |36 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

The middle term in the expansion of (x + 1/x)^(2n) is

The (n+1)th term in the expansion of e^(-2) is

The (n+1) the term in the expansion of e^(4x) is

Find the middle term(s) in the expansion of n in N (p^(2)-2q)^(2n-1)

If the middle term of (1+x)^ (2n) is (1.3.5….(2n-1)k)/(n!) then k=

Find the middle term(s) in the expansion of n in N (x sqrt(x) -(2)/(x))^(15)

AAKASH SERIES-BINOMIAL THEOREM-SOLVED EXAMPLES
  1. the tern independent of x in (1+x +2x^2)(3x^2//2-1//3x)^9 is

    Text Solution

    |

  2. Find the middle term (s) in the expansion of (4a+(3)/(2)b)^(11)

    Text Solution

    |

  3. Show that the middle term in the expansion of (1+x)^(2n)" is "(1.3.5. ...

    Text Solution

    |

  4. Find the numerically greatest terms in the expansion of (3 + 2a)^15 ...

    Text Solution

    |

  5. If (3 + 7x - 9x^2)^n = a0 +a1x + a2 x^2 + ……+a(2n)x^(2n) prove the a0 ...

    Text Solution

    |

  6. If (3 + 7x - 9x^2)^n = a0 +a1x + a2 x^2 + ……+a(2n)x^(2n) prove the a0 ...

    Text Solution

    |

  7. If (1+3x-2x^(2))^(10)=a(0)+a(1)x+a(2)x^(2).+…+a(20)x^(20) then prove t...

    Text Solution

    |

  8. If (1+3x-2x^(2))^(10)=a(0)+a(1)x+a(2)x^(2).+…+a(20)x^(20) then prove t...

    Text Solution

    |

  9. If (1 + 3x - 2x^2)^10 = a0 + a1x + a2x^2 +…..+a20 x^20 thn prove that ...

    Text Solution

    |

  10. If (1 + 3x - 2x^2)^10 = a0 + a1x + a2x^2 +…..+a20 x^20 thn prove that ...

    Text Solution

    |

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

    Text Solution

    |

  12. If the coefficients of x^(9),x^(10),x^(11) in expansion of (1+x)^(n) a...

    Text Solution

    |

  13. If n is a positive integer, then prove that 81^n + 20 n - 1 is divisib...

    Text Solution

    |

  14. Using binomial theorem, prove that 5^(4n)+52n-1 is divisible by 676 fo...

    Text Solution

    |

  15. 3. C0 + 7. C1 + 11. C2 +…...+ (4n+3) . Cn=

    Text Solution

    |

  16. With usual notations find the value of 3.C1 + 5.C2 + 7.C3 + ……….+n ter...

    Text Solution

    |

  17. With usual notations prove that C1+2.C2x + 3.C3x^2 + ……+2n.C(2n) ...

    Text Solution

    |

  18. Prove that (""^20C1)/(""^20C0) + 2. (""^20C2)/(""^20C1) + 3. (""^2...

    Text Solution

    |

  19. If n is a positive integer and C4 = ""^nCr then find the value of sum(...

    Text Solution

    |

  20. Prove that sum(r = 1)^(n+1) (2^(r +1) C(r - 1) )/(r (r + 1)) = (3^(n+...

    Text Solution

    |