Home
Class 12
MATHS
Find the sum of each of the following in...

Find the sum of each of the following infinite geometric series, if it exists :
`(1)/(16) + (1)/(12) + (1)/(9) + (4)/(27) +…oo`

Text Solution

Verified by Experts

The correct Answer is:
No sum
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 E (Very Short Answer Type Questions)|28 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (MCQs)|5 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 D (Multiple Choice Type Questions)|2 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Find the sum of each of the following infinite geometric series, if it exists : 1 + (1)/(3) + (1)/(9) + (1)/(27) +…oo

Find the sum of each of the following infinite geometric series, if it exists : 1 + 1 +1 +1 +…oo

Find the sum of each of the following infinite geometric series, if it exists : (1)/(2) + (3)/(4) + (9)/(8) + (27)/(16) +…oo

Find the sum of each of the following infinite geometric series, if it exists : (1)/(3) - (2)/(9) + (4)/(27) - (8)/(81) +…oo

Find the sum of each of the following infinite geometric series, if it exists : 0.9 + 0.81 + 0.729 +…oo

Find the sum of each of the following infinite geometric series, if it exists : (4)/(7) - (5)/(7^(2)) + (4)/(7^(3)) - (5)/(7^(4)) + (4)/(7^(5)) - (5)/(7^(6)) +…oo

Find the sum of each of the following infinite geometric series, if it exists : (2)/(5) + (3)/(5^(2)) + (2)/(5^(3)) + (3)/(5^(4)) + (2)/(5^(5)) + (3)/(5^(6)) +…oo

Find the sum of the following geometric series : 3-9+27-81+… to 8 terms

Find the sum of the following infinite G.P series 0.9+0.81+0.792+….

Find the sum of the following geometric series : 1+(1)/(4)+(1)/(16)+(1)/(64) +… to 10 terms

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 D (Very Short Answer Type Questions)
  1. Find the sum of each of the following infinite geometric series, if it...

    Text Solution

    |

  2. Find the sum of each of the following infinite geometric series, if it...

    Text Solution

    |

  3. Find the sum of each of the following infinite geometric series, if it...

    Text Solution

    |

  4. Find the sum of each of the following infinite geometric series, if it...

    Text Solution

    |

  5. Express each of the following recurring decimals in the form of an inf...

    Text Solution

    |

  6. Express each of the following recurring decimals in the form of an inf...

    Text Solution

    |

  7. Express each of the following recurring decimals in the form of an inf...

    Text Solution

    |

  8. Express each of the following recurring decimals in the form of an inf...

    Text Solution

    |

  9. Express 0.overset(.)4 as an infinite geometric series and hence prove ...

    Text Solution

    |

  10. The sum of an infinite geometric series is (1)/(3) and its first terms...

    Text Solution

    |

  11. The sum of an infinite geometric series is 6 and the sum of its first ...

    Text Solution

    |

  12. In a G.P. the sum of infinite terms is 15, the sum of the squares of t...

    Text Solution

    |

  13. Two infinite geometric series starts from the same number. If the comm...

    Text Solution

    |

  14. The distance passed over by a certain pendulum bob in succeeding swing...

    Text Solution

    |

  15. In an infinite G.P., each term is equal to three times the sum of all ...

    Text Solution

    |

  16. If x = a + (a)/(r ) + (a)/(r^(2))+…oo (-1 lt (1)/(r ) lt 1), y = b -...

    Text Solution

    |

  17. If |a| lt 1, |b| lt 1, then show that a(a+b) + a^(2) (a^(2) + b^(2))...

    Text Solution

    |

  18. If, for real numbers a, b, c, r with |r| gt 1, x = a + (a)/(r ) + (a)/...

    Text Solution

    |

  19. If for two reals a, b, with |a| gt 1, |b| gt 1, x = 1 + (1)/(a) + (1)/...

    Text Solution

    |

  20. For a real number 'a' with |a| lt 1, if x = a - a^(3) + a^(5)-…, y = 1...

    Text Solution

    |