Home
Class 12
MATHS
The sum to n terms of the series 4/3 + 1...

The sum to `n` terms of the series `4/3 + 10/9 + 28/27 + …….` is

A

`(3^(n)(2n + 1) + 1)/(2(3^(n)))`

B

`(3^(n)(2n + 1) - 1)/(2(3^(n)))`

C

`(3^(n)(n - 1))/(2(3^(n)))`

D

`(3^(n) - 1)/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos
  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the series 3+15+35+63+

The sum to n terms of the series 1/2 + 3/4 + 7/8 + 15/16 + ....... is

Find the sum to n terms of the series 5+55+555+ ……

Find the sum to n terms of each of the series in 1xx 2 xx 3 + 2 xx 3 xx 4 + 3 xx 4 xx 5 + ...

Find the sum of the first n terms of the series 0.4 + 0.94 + 0.994 + . . . .

The sum upto n terms of the series sqrt(3) + sqrt(12) + sqrt(27) + sqrt(48) +… is:

Find the sum to n terms of each of the series in 3 xx 8 + 6 xx 11 + 9 xx 14 +.....

The sum to n terms of a series is (n(n + 1)(n + 2))/3 . The 12^(th) terms is

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. If are the n Arithmetic means between a and b, then 2sum(I - 1)^(n)a(...

    Text Solution

    |

  2. If the third term of a G.P is P. Then the Product of the first 5 terms...

    Text Solution

    |

  3. The sum to n terms of the series 4/3 + 10/9 + 28/27 + ……. is

    Text Solution

    |

  4. A long a road lie an odd number of stones placed at intervals of 10 me...

    Text Solution

    |

  5. Suppose you are appointed to a post carrying a scale of pay of Rs. 800...

    Text Solution

    |

  6. The quardritic equation in x such that the arithmetic mean of its roo...

    Text Solution

    |

  7. If the sum of n terms of the series 2^(3) + 4^(3) + 6^(3) + ......... ...

    Text Solution

    |

  8. ………… term of the G.P. 3, 3sqrt(3),9 ...... is 2187

    Text Solution

    |

  9. A ball is dropped from a height of 48 meters and rebounds 2/3 of the d...

    Text Solution

    |

  10. The sum of 15^(2) + 16^(2) + 17^(2) + ....... + 30^(2) =

    Text Solution

    |

  11. If a(1), a(2), a(3), a(4), a(5) and a(6) are six arithmetic means betw...

    Text Solution

    |

  12. The sum to n terms of the series 1 + (1 + 3) + (1 + 3 + 9) + (1 + 3 + ...

    Text Solution

    |

  13. If x, y, z are in A.P then 1/(sqrt(x) + sqrt(y)) , 1/(sqrt(z) + sqrt(x...

    Text Solution

    |

  14. The product of (32)(32)^(1//6)(32)^(1//36) …….. To infty is

    Text Solution

    |

  15. If A.M and G.M of x and y are in the ratio p:q, then x:y is

    Text Solution

    |

  16. The difference between any two consecutive interior angles of a polygo...

    Text Solution

    |

  17. In an arithmetic progression, the 24^(th) term is 100. Then the sum of...

    Text Solution

    |

  18. If a, b and c are in geometric progression and the roots of the equati...

    Text Solution

    |

  19. If a(1), a(2),………, a(50) are in G.P, then (a(1) - a(3) + a(5) - .........

    Text Solution

    |

  20. The first term of an infinite G.P. is 1 and each term is twice the sum...

    Text Solution

    |