Home
Class 12
MATHS
If (1 + x - 3x^(2))^(10) = a(0) + a(1)x ...

If `(1 + x - 3x^(2))^(10) = a_(0) + a_(1)x + a_(2)x^(2) + ....... + a_(20)x^(20)`, then `a_(2) + a_(4) + a_(6) + ……. + a_(20) =`

A

`(b^(n) - a^(n))/(b - a)`

B

`(a^(n) - b^(n))/(b - a)`

C

`(a^(n + 1) - b^(n + 1))/(b - a)`

D

`(b^(n + 1) - a^(n + 1))/(b - a)`

Text Solution

Verified by Experts

The correct Answer is:
D
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 (2x^(2) - x - 1)^(5) = a_(0) + a_(1)x + a_(2)x^(2) + ....... + a_(10)x^(10) then, a_(2) + a_(4) + a_(6) + a_(8) + a_(10) =

If (1+x+x^(2))^(20) = a_(0) + a_(1)x^(2) "……" + a_(40)x^(40) , then following questions. The value of a_(0) + a_(1) + a_(2) + "……" + a_(19) is

If (1+x^(2))^(2)(1+x)^(n) =a_(0) + a_(1)x + a_(2)x^(2) + …+ x^(n+4) and if a_(0), a_(1), a_(2) are in A.P., then n is:

if (1+ax+bx^(2))^(4)=a_(0) +a_(1)x+a_(2)x^(2)+…..+a_(8)x^(8), where a,b,a_(0) ,a_(1)…….,a_(8) in R such that a_(0)+a_(1) +a_(2) ne 0 and |{:(a_(0),,a_(1),,a_(2)),(a_(1),,a_(2),,a_(0)),(a_(2),,a_(0),,a_(1)):}|=0 then the value of 5.(a)/(b) " is " "____"

If (1+x+x^(2))^(20) = a_(0) + a_(1)x^(2) "……" + a_(40)x^(40) , then following questions. The value of a_(0) + 3a_(1) + 5a_(2) + "……" + 81a_(40) is

If (x^(2)+x+1)/(1-x) = a_(0) + a_(1)x+a_(2)x^(2)+"…." , the b sum_(r=1)^(50) a_(r) equal to

Let (1 + x)^(n) = 1 + a_(1)x + a_(2)x^(2) + ... + a_(n)x^(n) . If a_(1),a_(2) and a_(3) are in A.P., then the value of n is

If a_(1), a_(2),………, a_(50) are in G.P, then (a_(1) - a_(3) + a_(5) - ....... + a_(49))/(a_(2) - a_(4) + a_(6) - ....... + a_(50)) =

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
  1. The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal t...

    Text Solution

    |

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

    Text Solution

    |

  3. The middle term in the expansion of (10/x + x/10)^(10) is

    Text Solution

    |

  4. The coefficient of x^(49) in the product (x - 1) (x - 2) (x - 3) ........

    Text Solution

    |

  5. The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6...

    Text Solution

    |

  6. The value of ""^(2)P(1) + ^(3)P(1) + ...... + ^(n)P(1) equal to

    Text Solution

    |

  7. The positive integer just greater than (1 + .0001)^(10000) is

    Text Solution

    |

  8. r and n are positive integers r gt 1,n gt 2 and coefficient of (r + 2)...

    Text Solution

    |

  9. The coefficients of x^(p) and x^(q) in the expansion of (1 + x)^(p + q...

    Text Solution

    |

  10. If the sum of the coefficients in the expansion of (a + b)^(n) is 4096...

    Text Solution

    |

  11. If x is positive, the first negative term in the expansion of (1 + x)^...

    Text Solution

    |

  12. The number of integral terms in the expansion of (sqrt(3) + root8(5))^...

    Text Solution

    |

  13. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

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

    Text Solution

    |

  15. If s(n) = sum(r = 0)^(n) 1/(""^(n)C(r)) and t(n) = sum (r = 0)^(n) r/(...

    Text Solution

    |

  16. If the coefficient of x^(7) in [ax^(2) + (1/(bx))]^(11) equals the coe...

    Text Solution

    |

  17. If x is so small that x^(3) and higher power of x may neglected, then ...

    Text Solution

    |

  18. The sum of the series 1 + 1/(4.2!) + 1/(16.4!) + 1/(64.6!) + ....infty...

    Text Solution

    |

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

    Text Solution

    |

  20. In the binomial expansion of (a - b)^(n), n gt= 5, the sum of 5^(th) a...

    Text Solution

    |