Home
Class 12
MATHS
(1)/(1 . 4)+(1)/(4 . 7)+(1)/(7 . 10)+.. ...

`(1)/(1 . 4)+(1)/(4 . 7)+(1)/(7 . 10)+.. .. .. ..=`

A

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

B

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

C

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

D

4)`(3 n)/(3 n+2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|32 Videos

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

Similar Questions

Explore conceptually related problems

(1)/(1 . 4 . 7)+(1)/(4 .7 . 10)+(1)/(7 . 10 . 13)+.. . to n terms =

Find the roots of the following quadratic equations (1)/(x+4) - (1)/( x- 7 ) = (11)/(30 ) , x ne -4,7

Prove that tan^(- 1)(1/3)+tan^(- 1)(1/7)+tan^(- 1)(1/13)+..........+tan^-1 (1/(n^2+n+1))+......oo = pi/4

Find the roots of the following equations: (ii) (1)/(x+4)-(1)/(x-7)=(11)/(30), x != 4, 7

Express the following in a+ib form [( (1)/(3) + i""(7)/(3)) + (4 + i""(1)/(3)) ] - (- (4)/(3) + i)

Prove that by using the principle of mathematical induction for all n in N : (1+(3)/(1))(1+(5)/(4))(1+(7)/(9))....(1_+((2n+1))/(n^(2)))= (n+1)^(2)

Find 'x' if 1 + 4 + 7 + 10 + ........ + x = 287 .

The sum to infinity of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))+ . . . , is

If cos^(-1) x = cot^(-1) ""4/3 + tan^(-1)""1/7 , the x =

HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
  1. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

    Text Solution

    |

  2. The sum of first 9 terms of the series : ( 1^(3))/( 1) + ( 1^(3) + 2...

    Text Solution

    |

  3. (1)/(1 . 4)+(1)/(4 . 7)+(1)/(7 . 10)+.. .. .. ..=

    Text Solution

    |

  4. 1+(3)/(2)+(5)/(2^(2))+(7)/(2^(3))+.. .. to infty=

    Text Solution

    |

  5. Sum to n terms of the series3+15+35+63+.. ..

    Text Solution

    |

  6. (1)/(2 !)+(2)/(3 !)+(3)/(4 !)+.. .. to n terms =

    Text Solution

    |

  7. Sum of 10 terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1+2...

    Text Solution

    |

  8. If the sum of n terms of the series : (1)/( 1^(3)) +( 1+2)/( 1^(3) +...

    Text Solution

    |

  9. Sum of 25 terms of the series 1 . 3+2 . 5+3 . 7+.., is

    Text Solution

    |

  10. If the natural numbers are divided into the groups (1),(2,3),(4,5,6),(...

    Text Solution

    |

  11. If (sum n^(3))(sum n)=(sum n^(2))^(2), then

    Text Solution

    |

  12. 4^(3)+5^(3)+6^(3)+.. .+10^(3)=

    Text Solution

    |

  13. 3+5+7+ …..to n^(th) term is

    Text Solution

    |

  14. ((1)/(2) . (2)/(2))/(1^(3))+((2)/(3) . (3)/(2))/(1^(3)+2^(3)) +((3)/(2...

    Text Solution

    |

  15. The 10^(th ) term of the series 3+13+29+51+79+.. ..

    Text Solution

    |

  16. Sum to 30 terms of 3+4+8+9+13+14+18+19+.. is

    Text Solution

    |

  17. The greatest positive integer, which divides (n+1)(n+2)(n+3)(n+4) for ...

    Text Solution

    |

  18. The sum of cubes of three successive natural numbers is divisible by

    Text Solution

    |

  19. Product of 4 consecutive natural numbers is divisible by

    Text Solution

    |

  20. 49^(n)+16 n-1 is divisible by

    Text Solution

    |