Home
Class 12
MATHS
Sum to n terms of the series1+3+7+13+.. ...

Sum to n terms of the series`1+3+7+13+.. .=`

A

1 `(n(3 n^(2)-1))/(2)`

B

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

C

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

D

4: `(n(4 n^(2)-1))/(3)`

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

Sum to n terms of the series 3+15+35+63+.. ..

Sum to n terms the series 1+3+7+15+31+...

Sum to n terms the series 1+3+7+15+31+...

Find the sum to n terms of the series . 3 xx 1^(2) + 5 xx 2^(2) + 7 xx 3^(2) + . . . . . .

The sum to n terms of the series 11 + 103 + 1005 + …. Is

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

Find the sum of n terms of the series 1. 2. 3+2. 3. 4+3. 4. 5+

The sum of n terms of the series : (1)/( 1.2.3.4) + ( 1)/( 2.3.4.5) + ( 1) / ( 3.4.5.6.)+"......." is :

Sum to n terms of the series (1)/(2 . 5) +(1)/(5 . 8)+(1)/(8 . 11)+..=

HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
  1. Sum of the n terms of the series 1 . 2^(2)+2 . 3^(2)+3 . 4^(2)+..

    Text Solution

    |

  2. If t(n) denotes the nth term of the series : 2+3+6+11+18+"………." , th...

    Text Solution

    |

  3. Sum to n terms of the series1+3+7+13+.. .=

    Text Solution

    |

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

    Text Solution

    |

  5. The n^(th ) term of the series 1+5+12+22+35+.. ..

    Text Solution

    |

  6. Sum to n terms of the series2+6+12+20+.. is,

    Text Solution

    |

  7. Sum of n terms of the series 1+2 x+3 x^(2)+4 x^(3)+..,(x ne 1) is

    Text Solution

    |

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

    Text Solution

    |

  9. Sum of 25 terms of the series 1+2 . 2+3 . 2^(2)+4 . 2^(3)+5 . 2^(4)+...

    Text Solution

    |

  10. The n^(th ) term of the series 1+4+13+40+.. .is

    Text Solution

    |

  11. 3+5+7+ …..to n^(th) term is

    Text Solution

    |

  12. The n^(th ) term of the series4+13+28+49+.. . Is

    Text Solution

    |

  13. The sum 1^(2)+1+2^(2)+2+3^(2)+3+..+n^(2)+n is

    Text Solution

    |

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

    Text Solution

    |

  15. sum(n=1)^(n) (1)/((4 n-1)(4 / t+3))=

    Text Solution

    |

  16. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

    Text Solution

    |

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

    Text Solution

    |

  18. (1)/(1 . 4)+(1)/(4 . 7)+(1)/(7 . 10)+.. .. .. ..=

    Text Solution

    |

  19. 1+(3)/(2)+(5)/(2^(2))+(7)/(2^(3))+.. .. to infty=

    Text Solution

    |

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

    Text Solution

    |