Home
Class 11
MATHS
1/1.4+1/4.7+1/7.10+...+1/((3n-2)(3n+1))=...

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

Promotional Banner

Topper's Solved these Questions

  • SUPER MODEL QUESTION PAPER

    SUBHASH PUBLICATION|Exercise PART - E|8 Videos

  • SUPER MODEL QUESTION PAPER

    SUBHASH PUBLICATION|Exercise PART - A|10 Videos

  • SUPER MODEL QUESTION PAPER

    SUBHASH PUBLICATION|Exercise PART - B|14 Videos

  • STRAIGHT LINES

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|6 Videos

  • SUPER MODEL QUESTION PAPER-1

    SUBHASH PUBLICATION|Exercise Point E|4 Videos

Similar Questions

Explore conceptually related problems

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

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

Prove that by using the principle of mathematical induction for all n in N : (1)/(1.4)+ (1)/(4.7)+(1)/(7.10)+...+ (1)/((3n-2)(3n+1))= (n)/(3n+1)

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

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

1+2+3+............+n=(n(n+1))/2 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.

a+ar+ar^(2)+...+ar^(n-1)=(a(1-r^(n)))/(1-r) forall n in N.

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

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

SUBHASH PUBLICATION-SUPER MODEL QUESTION PAPER -PART - D
  1. Prove by mathematical induction that 1.4+4.7+7.10+…. up to n terms =n(...

    Text Solution

    |

  2. How many words with or without meaning, each of two vowels and 3 conso...

    Text Solution

    |

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

    Text Solution

    |

  4. Derive the section formula for the internal division in three dimensio...

    Text Solution

    |

  5. If A+B+C=pi, prove that sin 2A+sin 2B+sin 2C=4 sinA sin B sinC.

    Text Solution

    |

  6. Find the equation of lines passing through the origin and making 45^(@...

    Text Solution

    |

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

    Text Solution

    |

  8. (a)Define a parabola and derive its equation in the standard form y^2=...

    Text Solution

    |

  9. 1/1.4+1/4.7+1/7.10+...+1/((3n-2)(3n+1))=n/((3n+1)) forall n in N.

    Text Solution

    |

  10. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

    Text Solution

    |

  11. State and prove Binomial theorem for a positive integer index.

    Text Solution

    |

  12. Find the distance between two points in a three dimensional plane and ...

    Text Solution

    |

  13. Find the general solution of (2+sqrt3)cos theta+sin theta=1

    Text Solution

    |

  14. Find the image of the point (3, 8) w.r.t the line x+3y=7, assuming the...

    Text Solution

    |

  15. Verify by the method of contradiction that sqrt7 is irrational number

    Text Solution

    |

  16. A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5...

    Text Solution

    |

  17. Derive a formula for the angle between two lines with slopes m(1) and ...

    Text Solution

    |