Home
Class 11
MATHS
1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) ...

`1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) forall n in N.`

Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER 2017-1

    OSWAAL PUBLICATION|Exercise EXERCISE|55 Videos

  • SOLVED PAPER 2018-2

    OSWAAL PUBLICATION|Exercise EXERCISE|62 Videos

Similar Questions

Explore conceptually related problems

1/1.2+1/2.3+1/3.4+…………….+1/(n(n+1))=n/(n+1) forall n in N.

1*2*3+2*3*4+...+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4 forall n in N.

1^(3)+2^(3)+3^(3)+………….+n^(3)=(n^(2)(n+1)^(2))/4 forall n in N.

1/1.4+1/4.7+1/7.10+...+1/((3n-2)(3n+1))=n/((3n+1)) forall n in N.

1+2+3+............+n=(n(n+1))/2 forall n in N.

1^(2)+2^(2)+3^(2)+............+n^(2)=(n(n+1)(2n+1))/6 forall n in N.

1/(2*5)+1/(5*8)+1/(8*11)+............1/((3n-1)(3n+2))=n/((6n+4)) forall n in N.

(1+3/1)(1+5/4)(1+7/9)...(1+((2n+1))/n^(2))=(n+1)^(2) forall n in N.

Prove that by using the principle of mathematical induction for all n in N : 1.2.3+ 2.3.4+ ....+ n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/(4)

Prove that by using the principle of mathematical induction for all n in N : 1.2+ 2.3+ 3.4+ .....+n(n+1)= [(n(n+1)(n+2))/(3)]

OSWAAL PUBLICATION-SOLVED PAPER 2018-1-EXERCISE
  1. A die is thrown. Find the probability that (i) A prime number will a...

    Text Solution

    |

  2. A die is thrown.Write the sample space.Also find the probability of th...

    Text Solution

    |

  3. A die is thrown. Find the probability that (i) A prime number will a...

    Text Solution

    |

  4. Out of 100 students,two sections of 40 and 60 are formed.If you and yo...

    Text Solution

    |

  5. Draw the graph of the signum function write its domain and range.

    Text Solution

    |

  6. Prove that : (sin 5x-2sin3x+sinx)/(cos5x-cosx)=tanx

    Text Solution

    |

  7. 1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) forall n in N.

    Text Solution

    |

  8. Solve the following system of inequalities graphivally 2x+y>+4,x+yle3,...

    Text Solution

    |

  9. What is the number of ways of choosing 4 cards from a pack of 52 cards...

    Text Solution

    |

  10. What is the number of ways of choosing 4 cards from a pack of 52 cards...

    Text Solution

    |

  11. What is the number of ways of choosing 4 cards from a pack of 52 cards...

    Text Solution

    |

  12. What is the number of ways of choosing 4 cards from a pack of 52 cards...

    Text Solution

    |

  13. Prove that the Binomial theorem (a + b)^(n) = ""^(n)C(0)a^(n) + ""^(n)...

    Text Solution

    |

  14. Derive the formula to find the angle between two lines with slopes m(1...

    Text Solution

    |

  15. Derive the formula to find the co-ordinates of a point which divide th...

    Text Solution

    |

  16. Prove that underset(xrarr0)lim(sinx/x=1) ?

    Text Solution

    |

  17. (a)Derive geometrically that cos(x+y)=cos x cos y-sin x sin y.Hence de...

    Text Solution

    |

  18. Find the sum to n terms of the series (1)/(1xx2) +(1)/(2xx3)+(1)/...

    Text Solution

    |

  19. Find the equation of hyperbola in the form (x^2)/(a^2)-(y^2)/(b^2)=1, ...

    Text Solution

    |

  20. (b) Find the derivative of (x^(5) - cos x)/(sin x) with respect to x.

    Text Solution

    |