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

1)0

B

2)1

C

3)`-1`

D

4)i

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos

  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 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

SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
  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^(2)y-y^(3)-2=0:

    Text Solution

    |

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

    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 veca and vec b are unit vectors, then what is the angle between 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 11^(th) 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 veca, vecb, vecc are three non-zero vector such that each one of th...

    Text Solution

    |

  14. If the straight lines 2x+3y-3=0 and x+ky+7=0 are perpendicular, then t...

    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(AnnB)=7//10andP(B)=17//20, where P stands for probability then P(...

    Text Solution

    |

  19. The coefficient of variation of two distribution are 60 and 70. The st...

    Text Solution

    |

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

    Text Solution

    |