Home
Class 11
MATHS
The sum of i-2-3i+4 up to 100 terms, whe...

The sum of `i-2-3i+4` up to 100 terms, where `i=sqrt(-1)` is `50(1-i)` b. `25 i` c. `25(1+i)` d. `100(1-i)`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

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

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

If i=sqrt(-1) " then" i^(2) is

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

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

Prove that z=i^i, where i=sqrt-1, is purely real.

Value of i^n+i^(n+1)+i^(n+2)+i^(n+3) (where i=sqrt-1 )

The smallest positiv einteger n for which ((1+i)/(1-i))^n=1 where i=sqrt(-1) is

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

if A=[[i,0] , [0,i]] where i=sqrt(-1) and x in N then A^(4x) equals to:

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Find the third term of a G.P. whose common ratio is 3 and the sum of w...

    Text Solution

    |

  2. If sum of an infinite G.P. : p ,1,1//p ,1//p^2, ........ is 9//2 then ...

    Text Solution

    |

  3. The sum of i-2-3i+4 up to 100 terms, where i=sqrt(-1) is 50(1-i) b. 2...

    Text Solution

    |

  4. The 24th term of an A.P. is twice its 10th term. Show that its 72nd te...

    Text Solution

    |

  5. If the seventh term of an A.P. is 1/9 and its ninth term is 1/7, find ...

    Text Solution

    |

  6. For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7)...

    Text Solution

    |

  7. If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal an...

    Text Solution

    |

  8. Find the value of k for which k+12, k-6, 3 are in GP.

    Text Solution

    |

  9. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

    Text Solution

    |

  10. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

    Text Solution

    |

  11. If a,b,c are in GP, Prove that, a(b^2+c^2) =c(a^2+b^2)

    Text Solution

    |

  12. If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c ...

    Text Solution

    |

  13. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

    Text Solution

    |

  14. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |

  15. The third term of a geometric progression is 4. Then the product of t...

    Text Solution

    |

  16. In triangle ABC medians AD and CE are drawn, if AD=5, angleDAC= pi/8 a...

    Text Solution

    |

  17. If tk is the kth term of a G.P., then show that t(n - k), tn, t(n + k)...

    Text Solution

    |

  18. If pth, qth, and rth term of an AP are equal to corresponding terms of...

    Text Solution

    |

  19. Sum of 1/(sqrt(2)+sqrt(5))+1/(sqrt(5)+sqrt(8))+1/(sqrt(8)+sqrt(11))+1/...

    Text Solution

    |

  20. If fourth term of an HP is 3/5 and its 8th term is 1/3 , then find it...

    Text Solution

    |