Home
Class 11
MATHS
Find the sum of the series whose nth ter...

Find the sum of the series whose nth term is given by:
` (3n^(2)-3n+2)`

Text Solution

Verified by Experts

The correct Answer is:
`2n(n^(2)+1)`
`T_(n)=(3n^(2)-3n+2).`
`therefore S_(n)=3(sum_(k=1)^(n)k^(2))-3(sum_(k=1)^(n)k)+2n " "[because 2+2+2+.. "n times" = 2n]`.
Promotional Banner

Topper's Solved these Questions

  • SOME SPECIAL SERIES

    RS AGGARWAL|Exercise EXERCISE 13B (Very short Answer Questions)|9 Videos

  • SOME SPECIAL SERIES

    RS AGGARWAL|Exercise EXERCISE 13B (Very short Answer Questions)|9 Videos

  • SOLUTION OF TRIANGLES

    RS AGGARWAL|Exercise EXERCISE 18 B|3 Videos

  • STATISTICS

    RS AGGARWAL|Exercise EXERCISE 30D|5 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the series whose nth term is given by: (3n^(2)+2n)

Find the sum of the series whose nth term is given by: (4n^(3)+6n^(2)+2n)

Find the sum to n term of the series whose n^(th) term is given by n(n^(2) + 1)

Find the sum to n terms of the series,whose n^(th) terms is given by: n^(2)+2^(n)

Find the sum to n terms of the series,whose n^(th) terms is given by: (2n-1)^(2)

Find the sum to n terms of the series,whose n^(th) terms is given by : n(n+1)(n+4)

Find the sum of n terms of the series whose nth term is: n(n+3)

Find the sum of n terms of the series whose nth term is: n^3-3^n

Find the sum of n terms of the series whose nth term is: n(n^2+1)

RS AGGARWAL-SOME SPECIAL SERIES-EXERCISE 13A
  1. Find the sum to n term of the series whose nth term is n(n+1)(n+4)

    Text Solution

    |

  2. Find the sum of the series whose nth term is given by: (4n^(3)+6n^...

    Text Solution

    |

  3. Find the sum of the series whose nth term is given by: (3n^(2)-3n...

    Text Solution

    |

  4. Find the sum of n terms of the series whose n t h term is: 2n^2-3n+5

    Text Solution

    |

  5. Find the sum of n terms of the series whose nth term is: n^3-3^n

    Text Solution

    |

  6. Find the sum of the series: (2^(2)+4^(2)+6^(2)+8^(2)+ ..."to n te...

    Text Solution

    |

  7. Find the sum of the following series to n term: 2^3+4^3+6^3+8^3+

    Text Solution

    |

  8. Find the sum to n terms of the series :5^2+6^2+7^2+dotdotdot+20^2

    Text Solution

    |

  9. Find the sum to n terms of the series 1xx2+2xx3+ 3xx4+ 4xx5+......

    Text Solution

    |

  10. Find the sum to n terms of the series :3xx8+6xx11+9xx14+dotdotdot

    Text Solution

    |

  11. Find the sum of the series: 1xx2^(2)+2xx3^(2)+3xx4^(2)+... "to n ...

    Text Solution

    |

  12. Find the sum of the series: 1xx2^(2)+3xx3^(2)+5xx4^(2)+... "to n ...

    Text Solution

    |

  13. Find the sum of the following series to n term: 3xx1^2+5xx2^2+7xx3^2+

    Text Solution

    |

  14. Find the sum to n terms of the series :1xx2xx3 + 2xx3xx4 + 3xx4xx5 + d...

    Text Solution

    |

  15. Find the sum of the series: (1xx2xx4)+(2xx3xx7)+(3xx4xx10)+... "t...

    Text Solution

    |

  16. Find the sum to n terms of the series :1/(1xx2)+1/(2xx3)+1/(3xx4)+dotd...

    Text Solution

    |

  17. Find the sum of the series: (1)/((1xx3))+(1)/((3xx5))+(1)/((5xx7)...

    Text Solution

    |

  18. Sum the following series to n terms: 1/(1. 6)+1/(6. 11)+1/(11. 16)+1/(...

    Text Solution

    |

  19. Find the sum of the series (1^3)/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+...

    Text Solution

    |

  20. Find the sum to n terms of the series 3+15+35+63+

    Text Solution

    |