Home
Class 12
MATHS
The sum of an infinite geometric series ...

The sum of an infinite geometric series with positive terms is 3 and the sums of the cubes of its terms is `(27)/(19)`. Then the common ratio of this series is

A

`4//9`

B

`2//9`

C

`2//3`

D

`1//3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is (27)/(19) . Then, the common ratio of this series is

The sum of an infinite geometric series is 2 and the sum of the squares of its tems is (4)/(3) Find the G.P.

The sum of an infinite geometric series is 15 and the sum of the squares of these terms is 45.Find the series.

The sum of an infinite GP is 4 and the sum of the cubes of its terms is 92. The common ratio of the original GP is

The sum of an infinite geomwtric series is 20 and the sum of the squares of these terms is 100. Find the series.

The sum of an infinite geometric series is 6. If its first terms is 2, find its common ratio.

The sum of the first five terms of a geometric series is 189, the sum of the first six terms is 381, and the sum of the first seven terms is 765. What is the common ratio in this series.

The sum of an infinite geometric series is 6 and the sum of its first two terms is (9)/(2); find its common ratio.

the sum of the following series terms

The sum of an infinite geometric series is 2 and the sum of the geometric series made from the cubes of this infinite series is 24. Then the series is:

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. If 5, 5r and 5r^(2) are the lengths of the sides of a triangle, then r...

    Text Solution

    |

  2. The sum of all two digit positive numbers which when divided by 7 yiel...

    Text Solution

    |

  3. The sum of an infinite geometric series with positive terms is 3 and t...

    Text Solution

    |

  4. Let a1,a2," ..."a10 be a G.P. If a3/a1=25," then "a9/a5 equals

    Text Solution

    |

  5. Let S(k) = (1+2+3+...+k)/(k). If S(1)^(2) + s(2)^(2) +...+S(10)^(2) = ...

    Text Solution

    |

  6. The product of three consecutive terms of a G.P. is 512. If 4 is added...

    Text Solution

    |

  7. Let Sn=1+q+q^2 +?+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+?+((q+1)/2)^n If...

    Text Solution

    |

  8. If 19^(th) term of a non-zero A.P. is zero, then (49^(th) term) : (29^...

    Text Solution

    |

  9. The sum of all natural numbers 'n' such that 100 lt n lt 200 and HCF (...

    Text Solution

    |

  10. The sum underset(k=1)overset(20)sum k (1)/(2^(k)) is equal to

    Text Solution

    |

  11. Let sum(k=1)^(10)f(a+k)=16(2^(10)-1), where the function f satisfies ...

    Text Solution

    |

  12. Let the sum of the first n terms of a non-constant A.P., a(1), a(2), a...

    Text Solution

    |

  13. Some identical balls are arranged in rows to form an equilateral tria...

    Text Solution

    |

  14. The sum of the the series 1+2x3+3x5+4x7+…. Upto 11^(th) term is

    Text Solution

    |

  15. If the sum and product of the first three terms in an AP are 33 and 11...

    Text Solution

    |

  16. Let S=3+(5(a^(3)+2^(3)))/(1^(2)+2^(2))+(7(1^(3)+2^(3)+3^(3)))/(1^(2)+2...

    Text Solution

    |

  17. Let a1,a2,a3,... be in A.P. With a6=2. Then the common difference of t...

    Text Solution

    |

  18. Let a, b and c be in GP with common ratio, r where a !=0 and 0 lt r le...

    Text Solution

    |

  19. value of 1+(1^(3)+2^(3))/(1+2)+(1^(3)+2^(3)+3^(3))/(1+2+3)+……+(1^(3)+2...

    Text Solution

    |

  20. Let S(n) denote the sum of the first n terms of an AP. If S(4) = 16 an...

    Text Solution

    |