Home
Class 12
MATHS
Find the sum to n terms of each of the f...

Find the sum to n terms of each of the following series :
`(1) + (2+3) + (4+5+6)+…`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Multiple Choice Type Questions)|14 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Very Short Answer Type Questions)|17 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Short Answer Type Questions)|42 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of each of the following series : 2 + 22 + 222 +…

Find the sum to n terms of each of the following series : 1 + 4 + 13 + 40 +…

Find the sum to n terms of each of the following series : 1 + 11 + 111 + ….

Find the sum to n terms of each of the following series : (1) + (1+2) + (1+2+3)+…

Find the sum to n terms of each of the following series : (3^(3) - 2^(3)) + (5^(3) - 4^(3)) + (7^(3) - 6^(3))+…

Find the sum to n terms of each of the following series : 1^(2) + 3^(2) + 5^(2) +…

Find the sum to n terms of each of the following series : (1)/(1.3) + (1)/(3.5) + (1)/(5.7) +…

Find the sum to n terms of each of the following series : (1)/(2.5) + (1)/(5.8) + (1)/(8.11)+…

Find the sum to n terms of each of the following series : 1^(2) - 2^(2)+3^(2) - 4^(2) + 5^(2) - 6^(2)+…

Find the sum to n terms of each of the following series : 2.4 + 6.8 + 10.12+…

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Long Answer Type Questions)
  1. Find the sum to n terms of each of the following series : (1^(2)) + ...

    Text Solution

    |

  2. Find the sum to n terms of each of the following series : (3^(3) - 2...

    Text Solution

    |

  3. Find the sum to n terms of each of the following series : (1) + (2+3...

    Text Solution

    |

  4. Find the sum to n terms of each of the following series : (1)/(1.4) ...

    Text Solution

    |

  5. Find the sum to n terms of each of the following series : (1)/(2.5) ...

    Text Solution

    |

  6. Find the sum to n terms of each of the following series : n.1 + (n-1...

    Text Solution

    |

  7. The sum of first P terms of an A.P. is equal to the sum of its first Q...

    Text Solution

    |

  8. A series is given in the form : (1) + (2+3+4) + (5+6+7+8+9) +…. Find t...

    Text Solution

    |

  9. The first and last terms of an A.P. are a and l respectively. If S be ...

    Text Solution

    |

  10. If the first, second and last terms of A.P. be a, b, and c respectivel...

    Text Solution

    |

  11. If S(n) be the sum of n consecutive terms of an A.P. show that, S(n+...

    Text Solution

    |

  12. If S(n) be the sum of n consecutive terms of an A.P. show that, S(n+...

    Text Solution

    |

  13. Let a(n) denote the n-th term of an A.P. and p and q be two positive i...

    Text Solution

    |

  14. Find the sum of the three-digited natural numbers which leave a remain...

    Text Solution

    |

  15. Between the roots of the quadratic equation 3px^(2) - 10px + 5q = 0 (p...

    Text Solution

    |

  16. Let a(n) be the nth term of an A.P. and a(3) + a(5) + a(8) + a(14) + a...

    Text Solution

    |

  17. Find the sum upto the nth term of the series (1+3) + (5+7+9+11) + (13 ...

    Text Solution

    |

  18. If S(1), S(2), S(3) are the sums of n natural numbers, their squares, ...

    Text Solution

    |

  19. If a(1) = 2 and a(n) - a(n-1) = 2n (n ge 2), find the value of a(1) + ...

    Text Solution

    |

  20. Find the middle term of the series 1+5+9+…+101.

    Text Solution

    |