Home
Class 11
MATHS
Find the sum of series 4-9x+16x^2-25x^3+...

Find the sum of series `4-9x+16x^2-25x^3+36x^4-49x^5+..... ` to infinite.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the series 1-3x+5x^2-7x^3+ ton terms.

Find the sum of the series 1+3x+5x^2+7x^3+.......... upto n terms.

Find the sum of the series 1+2x+3x^2+....(n-1)x^(n-2) using differentiation.

Find the sum of the series : 1^(2) + 2^(2)x + 3^(2)x^(2) + 4^(2) x^(3)+…. oo

If the sum to infinity to the series 1+4x+7x^2+10x^3+..... is 35/16 the value of x is

Find the maximum value of the function 2x^(3)+3x^(2)-36x+10 .

Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

Find the domain and range of f(x)=sqrt(4-16x^(2)) .

16x^(7)-81x^(3)-16x^(4)+81

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1-1/2^2+1/3^2...

    Text Solution

    |

  2. Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1...

    Text Solution

    |

  3. Find the sum of series 4-9x+16x^2-25x^3+36x^4-49x^5+..... to infinite...

    Text Solution

    |

  4. If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2

    Text Solution

    |

  5. If a,b,c are in H.P. show that a/(b+c),b/(c+a),c/(a+b) are also in H.P...

    Text Solution

    |

  6. Prove that the sum of n arithmatic means between two numbers is n time...

    Text Solution

    |

  7. Find the sum to n terms of the series: 5+11+19+29+41.....

    Text Solution

    |

  8. Find the sum of n terms of the series 3+7+14+24+37+.....

    Text Solution

    |

  9. Find the sum of series 3+8+22+72+266+1036+....

    Text Solution

    |

  10. Prove that sum(n=1)^infty n/(4n^4+1) equals to 1/4.

    Text Solution

    |

  11. Prove that sum(n=1)^infty n/(4n^4+1) equals to 1/4.

    Text Solution

    |

  12. Show that the sum of sum(n=1)^infty n/(n^4+4) equals to 3/8

    Text Solution

    |

  13. Show that the sum of sum(n=1)^infty n/(n^4+4) equals to 3/8

    Text Solution

    |

  14. Find the sum of first n terms of the series 3/1^2+5/(1^2+2^2)+7/(1^2+2...

    Text Solution

    |

  15. Find the sum of the series 1/(1.2.3.4)+1/(2.3.4.5)+1/(3.4.5.6)+..........

    Text Solution

    |

  16. Find the sum of 2.3+3.4+4.5+......to n terms.

    Text Solution

    |

  17. If a,b,c are positive real no., then prove that [(1+a)(1+b)(1+c)]^7 g...

    Text Solution

    |

  18. If a,b,c are the sides of a triangle and s=(a+b+c)/2 , prove that 8(s-...

    Text Solution

    |

  19. Prove that a^4+b^4+c^4>abc(a+b+c). [a,b,c are distinct positive real n...

    Text Solution

    |

  20. Show that the greatest value of xyz(d-ax-by-cz) is d^4/(4^4abc).

    Text Solution

    |