Home
Class 11
MATHS
Find the sum to n terms of the series 1^...

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

Text Solution

Verified by Experts

The correct Answer is:
`(n(n+1)^(2)(n+2))/12`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE |22 Videos

  • SEQUENCE AND SERIES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS MCQs|16 Videos

  • SAMPLE QUESTIONS PAPER-4 (PUNJAB)

    OMEGA PUBLICATION|Exercise Section- D|7 Videos

  • SETS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|27 Videos

Similar Questions

Explore conceptually related problems

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

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

Sum of the series 1^(2) + 3^(2) + 5^(2) + … + n^(2) is :

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

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

Find sum to n terms of the series 1+(2+3)+(4+5+6)+"...." .

Find the sum to n terms of the series given below:- 5^2 + 6^2 + 7^2 + ... + 20^2

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

OMEGA PUBLICATION-SEQUENCE AND SERIES -MULTIPLE CHOICE QUESTIONS MCQs
  1. Find the sum to n terms of the series 1^(2) + (1^(2) + 2^(2)) +(1^(2) ...

    Text Solution

    |

  2. If a, b, c, d, e,f are in A.P., then e - c is equal to

    Text Solution

    |

  3. The fourth term of an A.P. is 4. Then the sum of the first 7 terms is:

    Text Solution

    |

  4. The two geometric means between 1 and 64 are

    Text Solution

    |

  5. If second term of a GP. is 2 and the sum of its infinte terms is 8, th...

    Text Solution

    |

  6. If A.M. between two numbers is 5 and their G.M is 4, then their H.M is...

    Text Solution

    |

  7. The following consecutive terms 1/(1+sqrt(x)), 1/(1-x), 1/(1-sqrt(x)) ...

    Text Solution

    |

  8. 1/(1.2) -1/(2.3) + 1/(3.4) - 1/(4.5) + …….. Is:

    Text Solution

    |

  9. If the pth,term of an A.P. is q and the qth is p, then the rth term is

    Text Solution

    |

  10. cos x = b. For what value of b do the roots of the equation form an A....

    Text Solution

    |

  11. In a certain AP, 5 times the 5th term is equal to 8 times the 8th term...

    Text Solution

    |

  12. If the first term of an A.P. is 2 and common difference is 4, then sum...

    Text Solution

    |

  13. The product (32), (32)^(1//6) (32)^(1//36)…..infty is equal to:

    Text Solution

    |

  14. If the first two terms of harmonic progression be 1/2, 1/4 then the ha...

    Text Solution

    |

  15. A G.P consists of an even number of terms. If Sum of all terms of a G....

    Text Solution

    |

  16. Three numbers a,b and c are in A.P if:

    Text Solution

    |

  17. If the third term of an A.P is 12 and the seventh term is 24, then the...

    Text Solution

    |