Home
Class 12
MATHS
i^(2)+i^(4)+i^(6)+ldots . .(2 n+1) terms...

` i^(2)+i^(4)+i^(6)+ldots . .(2 n+1)` terms =

A

-1

B

1

C

-i

D

i

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

1+i^(2)+i^(4)+i^(6)+... .+i^(2 n)=

Find the value of 1+i^(2)+i^(4)+i^(6)+...+i^(2n), where i=sqrt(-1) and n in N .

If i^(2)=-1 then i+i^(2)+i^(3)+…..... . upto 1000 terms is equal to

(1+i)^(4)+(1-i)^(4)=

If I_(n) = int_0^(1) x^(n).e^(-x) dx, AA n in N then I_(7)-7I_(6) =

If A^(n) = 0 , then evaluate (i) I+A+A^(2)+A^(3)+…+A^(n-1) (ii) I-A + A^(2) - A^(3) +... + (-1) ^(n-1) for odd 'n' where I is the identity matrix having the same order of A.

The value of the sume sum_(n=1)^(13) ( i^(n) + i^(n+1)) , where i = sqrt( -1) , equals :

The value of the sum sum_(n=1) ^(13) (i^(n)+i^(n+1)) , where i = sqrt( - 1) ,equals :

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha...

    Text Solution

    |

  2. The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

    Text Solution

    |

  3. If (omega ne 1) is a cube root of unity and (1+omega)^(7)=A+Bomega. Th...

    Text Solution

    |

  4. If |z|=1 and z ne pm 1, then all the values of (z)/(1-z^(2)) lie on

    Text Solution

    |

  5. Points z in the complex plane satisfying Re(z+1)^(2)=|z|^(2)+1 lies on

    Text Solution

    |

  6. Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then...

    Text Solution

    |

  7. If |w|=1, then the set of points z=w+(1)/(w) is contained in or equal ...

    Text Solution

    |

  8. i^(2)+i^(4)+i^(6)+ldots . .(2 n+1) terms =

    Text Solution

    |

  9. The value of sum(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7)) is

    Text Solution

    |

  10. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

    Text Solution

    |

  11. If |z|ltsqrt(2)-1, then |z^(2)+2 z cos alpha| is less than

    Text Solution

    |

  12. The area of the triangle on the complex plane formed by the complex nu...

    Text Solution

    |

  13. If z=x+i y, z^(1 / 3)=a-i b and (x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then th...

    Text Solution

    |

  14. The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...

    Text Solution

    |

  15. If Im((z-1)/(2 z+1))=-4 then the locus of z is

    Text Solution

    |

  16. If 1,a(1), a(2). ..., a(n-1) are n roots of unity, then the value of (...

    Text Solution

    |

  17. If |(z+i)/(z-i)|=sqrt(3), then the radius of the circle is

    Text Solution

    |

  18. If sqrt(3)+i=(a+i b)(c+i d) then tan ^(-1) (b/a)+tan ^(-1) (d/c)=

    Text Solution

    |

  19. Find the numbers of non-zero integral solutions of the equation |1-i|^...

    Text Solution

    |

  20. The region of the complex plane for which |(z-a)/(z+a)|=1,(Re) ne 0, i...

    Text Solution

    |