Home
Class 12
MATHS
If (1+x+x^(2)+x^(3))^(7)=b(0)+b(1)x+b^(2...

If `(1+x+x^(2)+x^(3))^(7)=b_(0)+b_(1)x+b^(2)x^(2)+….b_(21)x^(21)`, then find the value of
`b_(0)+b_(2)+b_(4)+……+b_(20)`

Text Solution

Verified by Experts

The correct Answer is:
`2^13`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 3.1 ( LONG ANSWER QUESTIONS)|10 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 3.2 ( SHORT ANSWER QUESTIONS)|5 Videos

  • BINOMIAL THEOREM

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

If (1+x+x^(2)+x^(3))^(7)=b_(0)+b_(1)x+b^(2)x^(2)+….b_(21)x^(21) , then find the value of b_(1)+b_(3)+b_(5)+……+b_(21)

If (1+x+x^(2))^(n)=b_(0)+b_(1)x+b_(2)x^(2)+….+b_(2n)x^(2n) then prove that If n=25, b_(0)-b_(2)+b_(4)-b_(6)+….-b_(2n)=0

If (1+x+x^(2))^(n)=b_(0)+b_(1)x+b_(2)x^(2)+….+b_(2n)x^(2n) then prove that If n=37, b_(1)-b_(3)+b_(5)-b_(7)+ …b_(2n-1)=1

If (1+x+x^(2))^(n)=b_(0)+b_(1)x+b_(2)x^(2)+….+b_(2n)x^(2n) then prove that b_(0) +b_(1)+b_(2)+…+b_(2n)=3^(n)

If (1+x+x^(2))^(n)=b_(0)+b_(1)x+b_(2)x^(2)+….+b_(2n)x^(2n) then prove that b_(0)+b_(2)+b_(4)+b_(6)+…+b_(2n)=(3^(n)+1)/(2)

If (1+x+x^(2))^(n)=b_(0)+b_(1)x+b_(2)x^(2)+….+b_(2n)x^(2n) then prove that b_(0) +b_(3)+b_(6)+b_(9) +…..=3^(n-1)

If (1+x+x^(2))^(n)=b_(0)+b_(1)x+b_(2)x^(2)+….+b_(2n)x^(2n) then prove that b_(0)-b_(1)+b_(2)-….+b_(2n)=1

If (1+x+x^(2))^(n)=b_(0)+b_(1)x+b_(2)x^(2)+….+b_(2n)x^(2n) then prove that b_(1)+b_(3)+b_(5)+…..+b_(2n-1) = (3^(n)-1)/(2)

If (x-a+2b)^(2)+(x-2a+b)^(2)=(a+b)^(2) , then one value of x is

AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 3.1 ( SHORT ANSWER QUESTIONS)
  1. Find the sum of the coefficients of x^(32) and x^(-18) in the expansio...

    Text Solution

    |

  2. If the coefficient of x^11 and x^12 in (2+ (8x)/(3))^n are equal find ...

    Text Solution

    |

  3. If the coefficient of x^10 in (ax^2 + (1)/(bx))^11 is equal to the co...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the numerically greatest terms in the expansion of (3x-4y)^(14...

    Text Solution

    |

  6. Find the numerically greatest terms in the expansion of (3 + (2x)/(...

    Text Solution

    |

  7. Find the numerically greatest terms in the expansion of (3y + 7x)^10...

    Text Solution

    |

  8. Find the numerically greatest term (s) in the expansion of (4+3x)^(1...

    Text Solution

    |

  9. Find the numerically greatest term (s) in the expansion of (3x+5y)^(...

    Text Solution

    |

  10. Find the numerically greatest term (s) in the expansion of (4a-6b)^(...

    Text Solution

    |

  11. Find the numerically greatest term (s) in the expansion of (3+7x)^(n...

    Text Solution

    |

  12. Find the numerically greatest terms in the expansion of (1 - 5x)^12 w...

    Text Solution

    |

  13. If (1 + x +x^2)^n = a0 +a1x + a2x^2 + ….+a(2n)x^(2n) then prove that ...

    Text Solution

    |

  14. If (1 + x +x^2)^n = a0 +a1x + a2x^2 + ….+a(2n)x^(2n) then prove that ...

    Text Solution

    |

  15. If (1 + x +x^2)^n = a0 =a1x + a2x^2 + ….+a(2n)x^(2n) then prove that ...

    Text Solution

    |

  16. If (1+x+x^(2))^(n)=a(0)+a(1)x+a(2)x^(2)+….+a(2n)x^(2n), then prove tha...

    Text Solution

    |

  17. If (1+x+x^(2)+x^(3))^(7)=b(0)+b(1)x+b^(2)x^(2)+….b(21)x^(21), then fin...

    Text Solution

    |

  18. If (1+x+x^(2)+x^(3))^(7)=b(0)+b(1)x+b^(2)x^(2)+….b(21)x^(21), then fin...

    Text Solution

    |

  19. Find the remainder when 2^(2013) in divided by 17.

    Text Solution

    |

  20. Find the number of irrational terms in the expansion of (5^(1//6)+2^(1...

    Text Solution

    |