Home
Class 12
MATHS
Find out the sum of the coefficients in ...

Find out the sum of the coefficients in the expansion of the binomial `(5p - 4q)^n`, where `n` is a +ive integer.

Text Solution

AI Generated Solution

To find the sum of the coefficients in the expansion of the binomial \((5p - 4q)^n\), where \(n\) is a positive integer, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Binomial Expansion**: The binomial theorem states that \((a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k\). In our case, we have \(a = 5p\) and \(b = -4q\). 2. **Sum of Coefficients**: ...
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Example : (Matching Type Questions )|2 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|7 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos
  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

The sum of the coefficient in the expansion of (1 + x+x^2)^n is

Find the sum of the coefficients in the expansion of (1+2x+3x^2+ n x^n)^2dot

The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

The sum of the coefficients in the expansion of (1 - x + x^(2) - x^(3))^(n) ,is

Find the sum of all the coefficients in the binomial expansion of (x^2+x-3)^(319)dot

The sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

Find the sum of the coefficient of to middle terms in the binomial expansion of (1+x)^(2n-1)

Find the sum of the coefficient of two middle terms in the binomial expansion of (1+x)^(2n-1)

If the sum of the coefficients in the expansion of (q+r)^(20)(1+(p-2)x)^(20) is equal to square of the sum of the coefficients in the expansion of [2rqx-(r+q)*y]^(10) , where p , r , q are positive constants, then

If the sum of the coefficients in the expansion of (1 + 2x)^(n) is 6561 , then the greatest coefficients in the expansion, is

ARIHANT MATHS ENGLISH-BIONOMIAL THEOREM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find out the sum of the coefficients in the expansion of the binomial ...

    Text Solution

    |

  2. The value of ((30), (0))((30), (10))-((30), (1))((30),( 11)) +(30 2)(3...

    Text Solution

    |

  3. If the coefficient of the rth, (r+1)th and (r+2)th terms in the expans...

    Text Solution

    |

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

    Text Solution

    |

  5. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...

    Text Solution

    |

  6. In the binomial expansion of (a - b)^n , n ge 5 the sum of the 5th ...

    Text Solution

    |

  7. The sum of series ^^(20)C0-^^(20)C1+^^(20)C2-^^(20)C3++^^(20)C 10 is 1...

    Text Solution

    |

  8. Statement-1: sum(r =0)^(n) (r +1)""^(n)C(r) = (n +2) 2^(n-1) Stat...

    Text Solution

    |

  9. The reamainder left out when 8^(2n) - (62)^(2n+1) is divided by 9 is

    Text Solution

    |

  10. For r = 0, 1,"…..",10, let A(r),B(r), and C(r) denote, respectively, t...

    Text Solution

    |

  11. Let S(1) = sum(j=1)^(10) j(j-1).""^(10)C(j), S(2) = sum(j=1)^(10)j."...

    Text Solution

    |

  12. Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)...

    Text Solution

    |

  13. If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is ...

    Text Solution

    |

  14. The term independent of x in expansion of ((x+1)/(x^(2/3)-x^(1/3)+1)-(...

    Text Solution

    |

  15. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  16. If the coefficient of x^(3) and x^(4) in the expansion of (1+ax+bx^(2)...

    Text Solution

    |

  17. Coefficient of x^(11) in the expansion of (1+x^2)(1+x^3)^7(1+x^4)^(12)...

    Text Solution

    |

  18. The sum of coefficient of integral powers of x in the binomial expansi...

    Text Solution

    |

  19. The coefficient of x^9 in the expansion of (1+x)(16 x^2)(1+x^3)(1+x^(1...

    Text Solution

    |

  20. If the number of terms in the expansion of (1-2/x+4/(x^(2))) x ne 0, i...

    Text Solution

    |

  21. Let m be the smallest positive integer such that the coefficient of x^...

    Text Solution

    |