Home
Class 12
MATHS
The sum of the series 1+ (2)/(3)((1)/(8)...

The sum of the series `1+ (2)/(3)((1)/(8)) + (2 xx 5 xx 8)/(3 xx 6 xx 9) ((1)/(8))^(3) +…` is

A

`(4)/(.^(3)sqrt(49))`

B

`(.^(3)sqrt(49))/(4)`

C

`(4)/(.^(3)sqrt(81))`

D

`(.^(3)sqrt(81))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|79 Videos

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(2.5)/(3.6)((1)/(2))^(2)+(2.5.8)/(3.6.9)((1)/(2))^(3)+......oo

8 xx 2/5 =

Fill in these boxes: (1)/(6)xx(1)/(8)=(1xx1)/(6xx8)= square

Is [(-6) xx 5)] xx 1 = (-6) xx [(5 xx 1)] ?

2/3 xx (-5)/6 =___

The statement P(n) (1xx1!) + (2 xx2!) + (3 xx 3!) + … …. + (nxx n!) = (n+1)! - 1 is

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2016-Mathematic
  1. The number of 4 letter words that can be formed with the letters in th...

    Text Solution

    |

  2. The number of divisors of 7! is

    Text Solution

    |

  3. The sum of the series 1+ (2)/(3)((1)/(8)) + (2 xx 5 xx 8)/(3 xx 6 xx 9...

    Text Solution

    |

  4. If C(r ) denotes the binomial coefficient .^(n)C(r+) then (-1) C(0)^(2...

    Text Solution

    |

  5. (x+1)/(x^(4)(x+2)) = (A)/(x) + (B)/(x^(2)) + (C )/(x^(3)) + (D)/(x^(4)...

    Text Solution

    |

  6. If cos^(3) theta + cos^(3)((2pi)/(3) + theta) + cos^(3)((4pi)/(3) + th...

    Text Solution

    |

  7. (cos 13^(@) - sin 13^(@))/(cos 13^(@) + sin 13^(@)) + (1)/(cot 148^(@)...

    Text Solution

    |

  8. If cos x + cos y + cos alpha = 0 and sin x + sin y + sin alpha = 0, th...

    Text Solution

    |

  9. If f(x)=Cos^(2)x+Cos^(2)2x+Cos^(2)3x then the number of x epsilon[0,2p...

    Text Solution

    |

  10. The value of x which satisfies sin(Cot^(-1) x) = cos(Tan^(-1) + (1+x))...

    Text Solution

    |

  11. For theta in (0, (pi)/(2)) "sech"^(-1) (cos theta) is equal to

    Text Solution

    |

  12. If Delta ABC is such that angle A = 90 ^(@) , angle B ne angle C " ...

    Text Solution

    |

  13. In Delta ABC, if 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle is ...

    Text Solution

    |

  14. In Delta ABC, if 2R + r = r(2) then angleB =

    Text Solution

    |

  15. If ABCDEF is a regular hexagon with centre O , then P.T bar(AB)+bar(A...

    Text Solution

    |

  16. ABCD is a parallelogram and P is the midpoint of the side AD. The line...

    Text Solution

    |

  17. The vectors 2 hat(i) - 2 hat(j) + hat(k), hat(i) - 2 hat(j) + 3 hat(k)...

    Text Solution

    |

  18. a.b and c are three vectors such that |a| =1, |b| = 2, |c| = 3 and b,c...

    Text Solution

    |

  19. If a,b,c are unit vectors satisfying the relation a + b+sqrt(3) c = 0,...

    Text Solution

    |

  20. a is perpendicular to both b and c . The angle between b and c is (2 p...

    Text Solution

    |