Home
Class 14
MATHS
The sum of the following series (1^2 +...

The sum of the following series
`(1^2 +1) + (2^2 + 2) + (3^2 + 3) + (4^2 + 4) + …..+(n^2 + n)` is :

A

`n^3`

B

`((n^2+n)5)/3`

C

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

D

can't be determined

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the following series to n term: (n^2-1^2)+2(n^2-2^2)+3(n^2-3^2)+……...

Find the sum of the following series whose n t h term is: 2n^3+3n^2-1.

Find the sum of the following series to n term: 1^2-2^2+3^2-4^2+…....

Find the sum of the following series to n term: 3.1^2+5.2^2+7.3^2+……..

Sum of the following series 1+(2)/(2)+(3)/(2^(2))+(4)/(2^(3))+... to n terms

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. Shankuntala asked Aryabhatta to assume any two values of three digits ...

    Text Solution

    |

  2. Shankuntala asked Aryabhatta to assume any two values of three digits ...

    Text Solution

    |

  3. The sum of the following series (1^2 +1) + (2^2 + 2) + (3^2 + 3) + (...

    Text Solution

    |

  4. Earlier when I attended a close door meeting to discuss the outsourcin...

    Text Solution

    |

  5. Earlier when I attended a close door meeting to discuss the outsourcin...

    Text Solution

    |

  6. Earlier when I attended a close door meeting to discuss the outsourcin...

    Text Solution

    |

  7. Earlier when I attended a close door meeting to discuss the outsourcin...

    Text Solution

    |

  8. Under the scheme of Kisan Vikas, the Govt. of U.P. purchased 't' numbe...

    Text Solution

    |

  9. Under the scheme of Kisan Vikas, the Govt. of U.P. purchased 't' numbe...

    Text Solution

    |

  10. If 2^n can exactly divide p! such that the quotient is an odd positive...

    Text Solution

    |

  11. In n + (2)/( 3) n + (1)/(2) n + (1)/( 7) n = 97 then the value of n ...

    Text Solution

    |

  12. Each of the numbers x1,x2,x3,x4,x5,...,xn xnge4 is equal to -1 or 1. I...

    Text Solution

    |

  13. Each of the numbers x1,x2,x3,x4,x5,...,xn xnge4 is equal to -1 or 1. I...

    Text Solution

    |

  14. If m + n = mn - 5, then the maximum number of ordered pairs of (m,n) f...

    Text Solution

    |

  15. At the eve of marriage anniversary of Tristan and lseult some special ...

    Text Solution

    |

  16. The number of numbers less than or equal to 666 which are the products...

    Text Solution

    |

  17. Tata, Hutch and Idea started of with a same. The rule is that the lose...

    Text Solution

    |

  18. Remainder when is divided by 7 is:

    Text Solution

    |

  19. All the soldiers are arranged in the form of an equilateral triangle i...

    Text Solution

    |

  20. The sum of the squares of a two digit number is 10. If we add 18 to th...

    Text Solution

    |