Home
Class 11
MATHS
Find the sum of the series 1*2*3+2*3*4+3...

Find the sum of the series `1*2*3+2*3*4+3*4*5+"...." " upto n terms "` .

Text Solution

Verified by Experts

The correct Answer is:
`(n(n+1) (n+2)(n+3))/4`
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 the following series : 1.2+2.3+3.4+ .... to n terms .

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

Find the sum of the following series : 1.3+3.5+5.7+ .... to n terms .

Find the sum of the following series : 2^2+4^2+6^2 + .... to n terms .

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

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

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

Find the sum of the series : 1+ 2/3+1/3+0 +…….. To 19 terms.

Find the sum of the series – 1 + 5 + 11 +….to n terms.

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

OMEGA PUBLICATION-SEQUENCE AND SERIES -MULTIPLE CHOICE QUESTIONS MCQs
  1. Find the sum of the series 1*2*3+2*3*4+3*4*5+"...." " upto n terms " .

    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

    |