Home
Class 11
MATHS
Find the sum of the series 1+3x+5x^2+7x^...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 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 3xx5+ 5xx7+ 7xx9+ .. to n terms

Find the sum of the series 1+4x+ 7x^(2)+ ... to n terms . Hence write down the sum to infinity when x lt 1 numerically .

Find the sum to ininity of the series 1-3x+5x^2+7x^3+..... oo when Ix| <1.

Find the sum of the following series : (i) 1,3,5,7... upto 12 terms.

Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n terms

Sum up to n terms the series 1+3x+5x^(2)+7x^(3)+...

If the sum to infinity of the series 1 + 4x + 7x^2 + 10x^3 +............. is 35/16 then x= (A) 1/5 (B) 2/5 (C) 3/7 (D) 1/7

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

Find the sum of n terms of the series 1.3.5.+3.5..7+5.7.9+...

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If the A.M. between two numbers exceeds their G.M. by 2 and the GM. ...

    Text Solution

    |

  2. The AM of teo given positive numbers is 2. If the larger number is inc...

    Text Solution

    |

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

    Text Solution

    |

  4. If (a-x)/(p x)=(a-y)/(q y)=(a-z)/ra n dp ,q ,a n dr are in A.P., then...

    Text Solution

    |

  5. Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......

    Text Solution

    |

  6. Find the sum (1^2)/2-(3^2)/(2^2)+(5^2)/(2^3)-(7^2)/(2^4)+....oodot

    Text Solution

    |

  7. If H is the harmonic mean between Pa n dQ then find the value of H//P+...

    Text Solution

    |

  8. If Tr=r(r^2-1), then find sum(r=2)^oo1/Tdot

    Text Solution

    |

  9. Insert four H.M.’s between 2/3 and 2/13.

    Text Solution

    |

  10. If a , b ,a n dc are respectively, the pth, qth , and rth terms of a G...

    Text Solution

    |

  11. The A.M. and H.M. between two numbers are 27 and 122, respectively, ...

    Text Solution

    |

  12. If a ,a1, a2, a3, a(2n),b are in A.P. and a ,g1,g2,g3, ,g(2n),b . are...

    Text Solution

    |

  13. If nine arithmetic means and nine harmonic means are inserted between ...

    Text Solution

    |

  14. If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove tha...

    Text Solution

    |

  15. Find two numbers whose arithmetic mean is 34 and the geometric mean is...

    Text Solution

    |

  16. If a ,b ,c ,da n dp are distinct real numbers such that (a^2+b^2+c^2)p...

    Text Solution

    |

  17. If A.M. and G.M. between two numbers is in the ratio m : n then prove...

    Text Solution

    |

  18. Prove that (666....6)^2+(888....8)=4444.....4.

    Text Solution

    |

  19. If a is the A.M. of b and c and the two geometric mean are G1 and ...

    Text Solution

    |

  20. If a ,b ,c ,d are distinct integers in an A.P. such that d=a^2+b^2+c^2...

    Text Solution

    |