Home
Class 12
MATHS
Sn=3/(1^2)+3/(1^2+2^2)+7/(1^2+2^2+3^2)+ ...

`S_n=3/(1^2)+3/(1^2+2^2)+7/(1^2+2^2+3^2)+` upto `n` terms, then `S_n=(6n)/(n+1)` b. `S_n=(6(n+2))/(n+1)` c. `S_oo=6` d. `S_oo=1`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let S_n=1/1^2 + 1/2^2 + 1/3^2 +….. + 1/n^2 and T_n=2 -1/n , then :

S_(n+3)-3S_(n+2)+3S_(n+1)-S_(n)=0

1+ (n)/(3)+(n (n+1))/(3.6)+(n (n+1) (n+2))/(3.6.9)+... oo

If S_(n) denotes the sum of n terms of A.P.then S_(n+1)-3S_(n+2)+3S_(n+1)-S_(n)=2^(S)-nbs_(n+1)c.3S_(n)d.0

If 1+(1+2)/2+(1+2+3)/3+ddotto\ n terms is Sdot Then, S is equal to a. (n(n+3))/4 b. (n(n+2))/4 c. (n(n+1)(n+2))/6 d. n^2

If (1)/(1^(3))+(1+2)/(1^(3)+2^(3))+(1+2+3)/(1^(3)+2^(3)+3^(3))+......n terms then lim_(n rarr oo)[S_(n)]

In a series, if t_n = (n^(2) -1)/(n+1) , then S_6 - S_3= _______.

If S=sum_(n=2)^oo (3n^2+1)/(n^2-1)^3 then 9/S=

If S_(n) = sum_(n=1)^(n) (2n + 1)/(n^(4) + 2n^(3) + n^(2)) then S_(10) is less then

RESONANCE DPP-JEE MAINS-All Questions
  1. All the values of ' a ' for which the quadratic expression a x^2+(a-2...

    Text Solution

    |

  2. The base of triangle passes through a fixed point (f,g) and its other ...

    Text Solution

    |

  3. Sn=3/(1^2)+3/(1^2+2^2)+7/(1^2+2^2+3^2)+ upto n terms, then Sn=(6n)/(n+...

    Text Solution

    |

  4. Let A (-2, 0) and B(2, 0), then the number of integral values of a, a ...

    Text Solution

    |

  5. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1...

    Text Solution

    |

  6. [2x]-2[x]=lambda where [.] represents greatest integer function and {....

    Text Solution

    |

  7. If 2a+b+3c=1a n da >0,b >0,c >0, then the greatest value of a^4b^2c^2 ...

    Text Solution

    |

  8. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

    Text Solution

    |

  9. Solve |(x^2-5x+4)/(x^2-4)|<=1

    Text Solution

    |

  10. A square matrix B is said to be an orthogonal matrix of order n if BB^...

    Text Solution

    |

  11. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

    Text Solution

    |

  12. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

    Text Solution

    |

  13. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  14. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  15. Find the set of values of 'a', for which the expression y=(ax^2+6x-8...

    Text Solution

    |

  16. Consider a square matrix A or order 2 which has its elements as 0, 1, ...

    Text Solution

    |

  17. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

    Text Solution

    |

  18. Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...

    Text Solution

    |

  19. If p,q are the roots of the quadratic equation x^2 + 2bx + c = 0, pro...

    Text Solution

    |

  20. (sin theta)/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(cos27thet...

    Text Solution

    |