Home
Class 12
MATHS
1,1+I,2i,-2+2i,"…."i= sqrt(-1)...

`1,1+I,2i,-2+2i,"…."i= sqrt(-1)`

Text Solution

Verified by Experts

Here, `a=1`
and `r=(1+i)/(1)=(2i)/(1+i)=(-2+2i)/(2i)="..."`
`=(1+i)=(2i(1+i))/((1+i)(1+i))=((-1+i)i)/(i)^(2)="..."`
`=(1+i)=(1+i)=(1+i)="..."`
`i.e.,a=1,r=1+i`
Imaginary GP `(r= " imaginary ")`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|5 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|11 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If x=3i, y=2i, z=m+I, and i=sqrt(-1) , then the expression xy^(2)z=

If one root of the quadratic equation ix^2-2(i+1)x +(2-i)=0,i =sqrt(-1) is 2-i , the other root is

If one root of the quadratic equation ix^2-2(i+1)x +(2-i)=0,i =sqrt(-1) is 2-i , the other root is

If x=2i, y=-4, z=3i, and i=sqrt(-1) , then sqrt(x^(3)yz)=

Solve the equation ((1+i) x-2i)/(3+i)+ ((2-3i )y + i)/(3-i)=i, x y in R, i= sqrt(-1)

If z=|{:(3+2i,5-i,7-3i),(i,2i,-3i),(3-2i,5+i,7+3i):}|,"where "i=sqrt(-1),"then"

Which of the following complex numbers is equal to (5 + 12i) − ( 9i^2 − 6i), for i = sqrt(−1) ?

If a=(1+i)/sqrt2," where "i=sqrt(-1), then find the value of a^(1929) .

Express A as the sun of a hermitian and skew-hermitian matrix,where A=[(2+3_(i),7),(1-i,2_(i))],i=sqrt-1.

Express the following complex numbers in a+i b form: ((3-2i)(2+3i))/((1+2i)(2-i)) (ii) (2-sqrt(-25))/(1-sqrt(-16))

ARIHANT MATHS ENGLISH-SEQUENCES AND SERIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. 1,1+I,2i,-2+2i,"…."i= sqrt(-1)

    Text Solution

    |

  2. Let a,b,c be in A.P. and |a|lt1,|b|lt1|c|lt1.ifx=1+a+a^(2)+ . . . ."to...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If a1, a2, a3, be terms of an A.P. and (a1+a2+.....+ap)/(a1+a2+.....+...

    Text Solution

    |

  5. If a1, a2, a3,.....an are in H.P. and a1 a2+a2 a3+a3 a4+.......a(n-1...

    Text Solution

    |

  6. Let V(r ) denotes the sum of the first r terms of an arithmetic progre...

    Text Solution

    |

  7. Let Vr denote the sum of the first r terms of an arithmetic progressio...

    Text Solution

    |

  8. Let V(r) denote the sum of the first r terms of an arithmetic progress...

    Text Solution

    |

  9. LetA(1),G(1),H(1) denote the arithmetic, geometric and harmonic means ...

    Text Solution

    |

  10. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  11. LetA(1),G(1),H(1) denote the arithmetic, geometric and harmonic means ...

    Text Solution

    |

  12. In a G.P of positive terms if any term is equal to the sum of the next...

    Text Solution

    |

  13. Suppose four distinct positive numbers a(1),a(2),a(3),a(4) are in G.P....

    Text Solution

    |

  14. The first two terms of a geometric progression add up to 12. The sum o...

    Text Solution

    |

  15. If the sum of first n terms of an A.P. is cn^(2) then the sum of squar...

    Text Solution

    |

  16. The sum to infinity of the series 1+2/3+6/3^2+14/3^4+...is

    Text Solution

    |

  17. Let Sk,k=1, 2, …. 100 denote the sum of the infinite geometric series ...

    Text Solution

    |

  18. Let a1, a2, a3, ,a(11) be real numbers satisfying a1=15 , 27-2a2>0 a ...

    Text Solution

    |

  19. A person is to count 4500 currency notes. Let an denote the number of ...

    Text Solution

    |

  20. The minimum value of the sum of real numbers a^-5, a^-4, 3a^-3, 1,a^8 ...

    Text Solution

    |

  21. A man saves ₹ 200 in each of the first three months of his servies.In ...

    Text Solution

    |