Home
Class 12
MATHS
The simplified form of i^(n)+i^(n+1)+i^(...

The simplified form of `i^(n)+i^(n+1)+i^(n+2)+i^(n+3)` is

A

0

B

1

C

`-1`

D

i

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2001

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|53 Videos

Similar Questions

Explore conceptually related problems

(1+i)^(2 n)+(1-i)^(2 n), n in z is

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 :

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

The smallest positive integer for which (1 + i)^(2n)=(1 -l)^(2n) is

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

The least positive integer n, for which ((1+i)^(n))/((1-i)^(n-2)) is positive is

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

The smallest positive integer n for which (1+i)^(n) is purely imaginary is

KCET PREVIOUS YEAR PAPERS-KARNATAKA 2016-MATHEMATICS
  1. underset(xrarr0)lim(xe^(x)-sinx)/(x) is equal to

    Text Solution

    |

  2. If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to

    Text Solution

    |

  3. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

    Text Solution

    |

  4. The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^2y - y^(3) = 2

    Text Solution

    |

  5. The equation of the normal to the curve y(1 + x^(2)) = 2-x where the t...

    Text Solution

    |

  6. The maximum value of (1/x)^x is

    Text Solution

    |

  7. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

    Text Solution

    |

  8. The order and degree of the differential equation [1 + ((dy)/(dx))^(2)...

    Text Solution

    |

  9. If vec a and vec b are unit vectors, then angle between vec a and vec...

    Text Solution

    |

  10. The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2...

    Text Solution

    |

  11. The 11th term in the expansion of (x + (1)/(sqrt(x)))^(14) is

    Text Solution

    |

  12. Suppose veca + vecb + vecc = 0, |veca| = 3, |vecb| = 5, |vecc| = 7, th...

    Text Solution

    |

  13. If a = 3, b = 4, c = 5 each one of veca, vecb & vecc is perpendicular ...

    Text Solution

    |

  14. If the straight lines 2x + 3y - 3 = 0 and x + ky + 7 = 0 are perpendi...

    Text Solution

    |

  15. The rate of change of area of a circle with respect to its radius at r...

    Text Solution

    |

  16. Find the value of tan(pi/8) ?

    Text Solution

    |

  17. Area lying between the curves y^(2) - 2x and y = x is

    Text Solution

    |

  18. If P(A nn B) = (7)/(10) and P(B) = (17)/(20), where P stands for proba...

    Text Solution

    |

  19. The coefficient of variation of two distributions are 60 and 70. The s...

    Text Solution

    |

  20. Two cards are drawn at randrom from a pack of 52 cards. The probabilit...

    Text Solution

    |