Home
Class 11
MATHS
Evaluate sum(n=1)^(13)(i^n+i^(n+1)), whe...

Evaluate `sum_(n=1)^(13)(i^n+i^(n+1)),` where `n in Ndot`

Text Solution

Verified by Experts

The correct Answer is:
`2(2^(18)-1)+1/2(3^(18)-1)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.1 )|14 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.2 )|18 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise TRUE/FALSE|4 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos

  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

Q.sum_(n=1)^(13)(i^(n)+i^(n+1))=(-1+i),n in N

The value of sum Sigma_(n=1)^(13) (i^n + i^(n+1)) where i= sqrt(-1) equals

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 the sums sum_(n=1)^(13)(i^(n)+i^(n+1)) where i=sqrt(-)1 is : (a) i(b)i-1(c)-i(d)

What is the value of the sum sum_(n=2)^(11) (i^(n)+i^(n+1)), where i=sqrt(-1)?

MODERN PUBLICATION-SEQUENCES AND SERIES-VERY SHORT ANSWER TYPE QUESTIONS
  1. Write the next term of the sequence: 1/6,1/3,1/2……..

    Text Solution

    |

  2. Which term in the A.P. 68,64,60 is -8?

    Text Solution

    |

  3. Find the A.M. between: (i) 3.7 and 5.5 (ii) 6 and -8

    Text Solution

    |

  4. (i) Find the 10 th term of the G.P. 5,25,125…………….. (ii) Find the ...

    Text Solution

    |

  5. Which term of the following sequences:(a) 2,2sqrt(2),4,. . . is 128? (...

    Text Solution

    |

  6. Find the indicated term of the following G.P.: 12, 8, 16/3, …………..t...

    Text Solution

    |

  7. In a GP the 3rd term is 24 and the 6th term is 192. Find the 10th t...

    Text Solution

    |

  8. Evaluate sum(n=1)^(13)(i^n+i^(n+1)), where n in Ndot

    Text Solution

    |

  9. Given a G.P. with a=1,r=sqrt(2). Find S(20) ??

    Text Solution

    |

  10. Find the sum of the infinite geometric series (1+1/3+1/9+1/27+...oo).

    Text Solution

    |

  11. Find the sum of series in GP 1/3, 1/9, 1/27……………….. up tooo

    Text Solution

    |

  12. 0.3,0.18,0.108,………….to oo

    Text Solution

    |

  13. Find the sum of the following series: (sqrt(2)-1)+1+(sqrt(2)-1)+oo

    Text Solution

    |

  14. Find the sum of the following series to infinity: 2//5+3//5^2\ +2//5^3...

    Text Solution

    |

  15. Find a rational number for the following which will have as its expant...

    Text Solution

    |

  16. Find the sum to inifinity of the following series: 1+2/3+3/(3^(2))+4...

    Text Solution

    |

  17. Find the sum of the series: (2^(2)+4^(2)+6^(2)+8^(2)+ ..."to n te...

    Text Solution

    |

  18. Sum of n terms of the following series1^3+3^3+5^3+7^3+

    Text Solution

    |

  19. 1.3+3.5+5.7+..... n terms =

    Text Solution

    |

  20. Find the sum of first n terms of the series whose nth term is 3n^(2)+5...

    Text Solution

    |