Home
Class 12
MATHS
Sum of 10 terms of the series (3)/(1^(...

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

A

a.` (60)/(11)`

B

b.`(70)/(13)`

C

c.`(80)/(17)`

D

d.` (90)/(19)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

The sum of n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+ (7)/(1^(2)+2^(2)+3^(2))+.. .. .. is

The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2))/(1 + 2) + (1^(2) + 2^(2) + 3^(2))/(1 + 2 + 3) + ..

If the sum of n terms of the series : (1)/( 1^(3)) +( 1+2)/( 1^(3) + 2^(3)) +(1+2+3)/(1^(3) + 2^(3) + 3^(3)) + "......." in S_(n) , then S_(n) exceeds 199 for all n greater than :

Sum of 25 terms of the series 1+(2)/(2)+(3)/(2^(2))+(4)/(2^(3))+.. ..

Find the sum to n terms of the series 1/(1+1^(2)+1^(4))+2/(1+2^(2)+2^(4))+3/(1+3^(2)+3^(4))+… .

Find the sum to n terms of the series 1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)+3^(2))+.....

Sum to n terms of the series 1+(1+2)+(1+2+3)+.. ..

Find the sum to n terms series 1^(2) + (1^(2) + 2^(2)) (1^(2) + 2^(2) + 3^(2)) + . . . . .

The sum of first 10 terms of the series : (x+(1)/( x))^(2) + ( x^(2) + ( 1)/( x^(2)))^(2) + ( x^(3)+ ( 1)/( x^(3)))^(2) + "......" is :

If n is odd then the sum of n terms of the series 1^(2)-2^(2)+3^(2)-4^(2)+5^(2)-6^(2)-.. .. .. .. is

HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
  1. Sum to n terms of the series3+15+35+63+.. ..

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. 4^(3)+5^(3)+6^(3)+.. .+10^(3)=

    Text Solution

    |

  9. 3+5+7+ …..to n^(th) term is

    Text Solution

    |

  10. ((1)/(2) . (2)/(2))/(1^(3))+((2)/(3) . (3)/(2))/(1^(3)+2^(3)) +((3)/(2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Product of 4 consecutive natural numbers is divisible by

    Text Solution

    |

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

    Text Solution

    |

  17. If n is a positive integer, then n^(3)+2n is divisible

    Text Solution

    |

  18. If n in N then 3 . 5^(2 n+1)+2^(3 n+1) is divisible by

    Text Solution

    |

  19. If n is a +ve integer, 4^(n)-3 n-1 is divisible by

    Text Solution

    |

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

    Text Solution

    |