Home
Class 12
MATHS
The value of sum(r=1)^(5)(i^(r )-i^(r+1)...

The value of `sum_(r=1)^(5)(i^(r )-i^(r+1))` is, where `i=sqrt(-1)`

A

`i-1`

B

`3i+3`

C

`5i-5`

D

`i+1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS (2011)

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QUESTIONS|10 Videos

  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

The value of sum_(n=1)^(13) (i^n+i^(n+1)) , where i =sqrt(-1) equals (A) i (B) i-1 (C) -i (D) 0

The value of sum_(r=1)^n (^nP_r)/(r!) is

The value of sum_(n=1)^(13)(i^(n)+i^(n+1)),i=sqrt(-1) is

The value of (sqrt(3)^(1/3)+(3^(5//6))i)^(3) is (where i=sqrt(-1) )

The value of sum_(n=0)^(100)i^(n) equals (where i=sqrt(-1))

The value of sum_(r=0)^(3n-1)(-1)^r .^(6n)C_(2r+1)3^r is

The value of sum_(r=1)^(n+1)(sum_(k=1)^n ^kC_(r-1)) (where r, k, n in N ) is equal to

The value of underset(n=1)overset(13)sum(i^(n)+i^(n-1)),=i=sqrt(-1) is -

Find the value of sum_(r=1)^(n) (r)/(1+r^(2)+r^(4))

The value of sum_(r=1)^(n)(-1)^(r-1)((r )/(r+1))*^(n)C_(r ) is (a) 1/(n+1) (b) 1/n (c) 1/(n-1) (d) 0

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. The number of tangents that can be drawn from the point (6, 2) on the ...

    Text Solution

    |

  2. The value of the integral int(1)^(e )(log x)^(2)dx is

    Text Solution

    |

  3. The value of sum(r=1)^(5)(i^(r )-i^(r+1)) is, where i=sqrt(-1)

    Text Solution

    |

  4. If (m, n) represent respectively the order and degree of the differnti...

    Text Solution

    |

  5. The solution of the differential euation (dy)/(dx)=(x-y)/(x+y) is C...

    Text Solution

    |

  6. The general solution of the equation ydx+(x+cos y)dy=0 is

    Text Solution

    |

  7. The letters of the word 'TRIANGLE' are arranged in a row in all possib...

    Text Solution

    |

  8. If in an infinite G.P. series, the first term is 'a' and the sum is 3,...

    Text Solution

    |

  9. If n is an integer greater than 1, then the value of a-""^(n)c(1)(a-1)...

    Text Solution

    |

  10. y=f(x)=x^(2)-x+10 is

    Text Solution

    |

  11. If f(x)=mu x-sin x is strictly increasing then

    Text Solution

    |

  12. If A and B are two square matrices of the same order such that AB = A,...

    Text Solution

    |

  13. If x and a are real, then the value of a for which the expression x^(2...

    Text Solution

    |

  14. The differential equation of the family of parabolas whose vertex is a...

    Text Solution

    |

  15. The solution of (dy)/(dx)=xy+2y subject to the condition y = 1 at x = ...

    Text Solution

    |

  16. The sum of the first 26 odd positive integers is

    Text Solution

    |

  17. If Z(1) and Z(2) are two non-zero complex numbers such that |Z(1)+Z(2)...

    Text Solution

    |

  18. The solution of (d^(2)y)/(dx^(2))-4(dy)/(dx)=0 is

    Text Solution

    |

  19. If the coefficients of 2nd, 3rd and 4th terms of (1+x)^(2n) are in A.P...

    Text Solution

    |

  20. A particle is projected vertically upwards with a velocity of 4900 cm/...

    Text Solution

    |