Home
Class 12
MATHS
The sum to infinite terms of the series ...

The sum to infinite terms of the series
`(3)/(10)+(3.7)/(10.15)+(3.7.9)/(10.15.20)+..." to " oo` is

A

`root4(125)-1`

B

`(5sqrt(5))/(3sqrt(3))-(8)/(5)`

C

`root(3)(4)-(4)/(3)`

D

`sqrt((5)/(3))-(6)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ONLINE QUESTION PAPER

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

  • QUESTION PAPER 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|78 Videos

Similar Questions

Explore conceptually related problems

Prove that : Find the sum of the series (3.5)/(5.10)+(3.5.7)/(5.10.15)+(3.5.7.9)/(5.10.15.20)+....oo

Find the sum of the infinite series (3)/(4)+(3.5)/(4.8)+(3.5.7)/(4.8.12)+....

Find the sum of the infinite series 1-(4)/(5)+(4.7)/(5.10)-(4.7.10)/(5.10.15)+………

Find the sum of the infinite series (3)/(4)+(3.5)/(4.8)+(3.5.7)/(4.8.12)+….

(1.4)/(5.10)-(1.4.7)/(5.10.15)+(1.4.7.10)/(5.10.15.20)+….=

The sum of the series (1)/(1.3.5)+(1)/(3.5.7)+(1)/(5.7.9)+... is

Find the sum of the infinite series (3)/(4.8)-(3.5)/(4.8.12)+(3.5.7)/(4.8.12.16)-......

The sum of 15 terms of the A.P. 4, 7, 10, ………. Is

Show that (3.5)/(5.10) + (3.5.7)/(5.10.15) + (3.5.7.9)/(5.10.15.20)+ …..oo = (5sqrt5)/(3 sqrt3) - 8/5

TS EAMCET PREVIOUS YEAR PAPERS-ONLINE QUESTION PAPER 2018-MATHEMATICS
  1. In an admission test,there are 15 multiple choice questions. Each ques...

    Text Solution

    |

  2. The absolute value of the numerically greatest term in the expansion o...

    Text Solution

    |

  3. The sum to infinite terms of the series (3)/(10)+(3.7)/(10.15)+(3.7....

    Text Solution

    |

  4. if (3x+2)/((x+1)(2x^(2)+3))=(A)/(x+1)+(Bx+C)/(2x^(2)+3') " then " A- B...

    Text Solution

    |

  5. sin 10^(@) sin50^(@)sin 60^(@) sin 70^(@)=m " and tan "20^(@) tan 40^(...

    Text Solution

    |

  6. Assertion (A) If alpha =12 ^(@),beta = 15^(@),gamma = 18^(@), then ta...

    Text Solution

    |

  7. cot theta - tan theta - 2 tan 2theta- 4 tan 4theta=

    Text Solution

    |

  8. If the general solution of sin x + 3 sin 3x + sin 5 x = 0 " is " x =...

    Text Solution

    |

  9. If cos^(-1)2x+cos ^(-1)3x=(pi)/(3), " then "x=

    Text Solution

    |

  10. If cosh beta= secalphacos theta,sin h beta = " cosec "alphasin theta,"...

    Text Solution

    |

  11. If sin A , sin B are roots of c^(2) x^(2) - c ( a+b) x + ab = 0 , ...

    Text Solution

    |

  12. Let ABC be an isosceles triangle with BC as its base. Then, rr(1)=

    Text Solution

    |

  13. In a Delta ABC, a ^(4)+b^(4) + c^(4) = 2b^(2)c^(2)+2a^(2)b^(2), " then...

    Text Solution

    |

  14. If a = 2hat(i) + 3hat(j) +hat(k),b = hat(i)- 3 hat(j)- 5hat(k) and c=3...

    Text Solution

    |

  15. If 2hat(i) - hat(j) + 3 hat(k),-12hat(i)-hat(j)- 3hat(k),-hat(i)+2hat(...

    Text Solution

    |

  16. A point lying on the plane that passes through the point hat(i)-hat(j)...

    Text Solution

    |

  17. A non-zero vector a is parallel to the line of intersection of the pla...

    Text Solution

    |

  18. The equation of the plane passing through the point with position vect...

    Text Solution

    |

  19. If a, b and c are three vectors qith magnitudes 1, 1 and 2 respectivel...

    Text Solution

    |

  20. The coefficient of variation of the first n natural numbers is

    Text Solution

    |