Home
Class 12
MATHS
9,3,1,(1)/(3),(1)/(9),"…."...

`9,3,1,(1)/(3),(1)/(9),"…."`

Text Solution

Verified by Experts

Here, `a=9`
and `r=(3)/(9)=(1)/(3)=((1)/(3))/(1)=((1)/(9))/((1)/(3))="..."=(1)/(3) i.e.a=9,r=(1)/(3)`
Decreasing GP `(agt0,0 lt r lt 1)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 2|11 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

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

  • SETS, RELATIONS AND FUNCTIONS

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

Similar Questions

Explore conceptually related problems

Find the value of 9^((1)/(3)),9^((1)/(9)).9^((1)/(27))...up to oo

The sum of the series 3-1+(1)/(3)-(1)/(9)+... is equal to

Solve: (1)/((x+3))+(1)/((2x-1))=(11)/((7x+9)),xne-3,(1)/(2),(-9)/(7).

9-3-:(1)/(3)+1=

(9-x)/(x-1)>(1)/(3)

(9-x)/(x-1)=(1)/(3)

Prove that (9(1)/(3).9^((1)/(9)).9^((1)/(77)).........oo)=3

The simplified of ((1)/(3)-:(1)/(3) xx(1)/(3))/((1)/(3)-:(1)/(3)"of"(1)/3)-(1)/(9) is

The value of ((4)/(9))^((1)/(3))-((2)/(9))^((1)/(3))+((1)/(9))^((1)/(3)) is

ARIHANT MATHS-SEQUENCES AND SERIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. 9,3,1,(1)/(3),(1)/(9),"…."

    Text Solution

    |

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

    Text Solution

    |

  3. If an=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n and bn=1-an, then find ...

    Text Solution

    |

  4. If a1, a2, a3, be terms of an A.P. if (a1+a2++ap)/(a1+a2++aq)=(p^2)/(...

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. in a geometric progression consisting of positive terms, each term eq...

    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 su...

    Text Solution

    |

  15. If the sum of first n terms of an AP is cn^(2), then the sum of square...

    Text Solution

    |

  16. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+...oo=

    Text Solution

    |

  17. Let Sk ,k=1,2, ,100 , denotes thesum of the infinite geometric series ...

    Text Solution

    |

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

    Text Solution

    |

  19. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

    Text Solution

    |

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

    Text Solution

    |

  21. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |