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)/(3sqrt(49))`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • EAMCET - 2016 AP

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos
  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 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

DIPTI PUBLICATION ( AP EAMET)-EAMCET - 2016 TS-Questions
  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. The solution of the differential equation y' = (1)/(e^(-y) - x), is

    Text Solution

    |

  8. The solution of the differential equation 3xy' - 3y + (x^(2) - y^(2))^...

    Text Solution

    |

  9. Let p in IR, then the differential equation of the family of curves y ...

    Text Solution

    |

  10. If the area bounded by the curves y=ax^(2) and x=ay^(2)(a gt 0) is 3 s...

    Text Solution

    |

  11. int(0)^(pi//4)[sqrt(tan x) + sqrt(cot x)] = dx

    Text Solution

    |

  12. int(0)^(pi//4)(sinx + cos x)/(7+9 sin 2x) dx =

    Text Solution

    |

  13. int (2x+2)/(sqrt(x^(2)-4x-5))dx=

    Text Solution

    |

  14. int(dx)/(cos (x+4)cos(x+2)) =

    Text Solution

    |

  15. int(x^(3))/(sqrt(1+x^(2)))dx =

    Text Solution

    |

  16. int((x^(2) +1))/(x^(4) + 7x^(2) + 1) dx =

    Text Solution

    |

  17. The smallest value of of the constant m gt 0 for which f(x) = 9mx - 1 ...

    Text Solution

    |

  18. Define f(x) = (1)/(2)[|sinx|+sin x], 0 lt x le 2pi. Then f is

    Text Solution

    |

  19. The area of the triangle formed by the positive x-axis, the tangent an...

    Text Solution

    |

  20. The length of the segment of the tangent line curve x = a cos^(3)t, y ...

    Text Solution

    |