Home
Class 11
MATHS
Sum the following geometric series to in...

Sum the following geometric series to infinity: `1/2+1/(3^3)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^5)+oo`

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|200 Videos

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|22 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the following series to infinity: 1/3+1/(5^2)+1/(3^3)+1/(5^4)+1/(3^5)+1/(5^6)+oo

Sum the following geometric series to infinity: (sqrt(2)+1)+1+(sqrt(2)-1)+oo 1/2+1/(3^3)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+oo

Find the sum of the following series to infinity: 1-1/3+1/(3^2)-1/(3^3)+1/(3^4)+oo

Find the sum of the following series: 1/2+1/(3^2)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+...+oo

Sum the following series to infinity: tan^(-1)1/(1+1+1^2)+tan^(-1)1/(1+2+2^2)+tan^(-1)1/(1+3+3^2)+.......

Find the sum of the following geometric series: 2/9-1/3+1/2-3/4+ to\ 5\ terms.

Sum the following series to infinity : tan^(-1)(1/(1+1+1^2))+tan^(-1)(1/(1+2+2^2))+tan^(-1)(1/(1+3+3^2))+.................

Find the sum of the following series to infinity: 1+2//5+3//5^2\ +2//5^3+3//5^4+.....oo

Find the sum of the series to n terms and to infinity : (1)/(1.3)+ (1)/(3.5) +(1)/(5.7) +(1)/(7.9)+...

Find the sum of the infinite geometric series (1+1/3+1/9+1/27+...oo) .

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. A square is drawn by joining the mid-points of the sides of a square. ...

    Text Solution

    |

  2. After striking a floor a certain ball rebounds (4/5)^(t h) of the heig...

    Text Solution

    |

  3. Sum the following geometric series to infinity: 1/2+1/(3^3)+1/(2^3)+1/...

    Text Solution

    |

  4. If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n dz=c+c/(r^2)+c/(r^4)+oo, ...

    Text Solution

    |

  5. If x=1+a+a^2+oo,w h e r e|a|<1a n dy=1+b+b^2+oo,w h e r e|b|<1. prove...

    Text Solution

    |

  6. If A=1+r^a+r^(2a)+ to oo and B=1+r^b+r^(2b)+oo , prove that r=((A-1)/A...

    Text Solution

    |

  7. Prove that the product n geometric means between two quantities is equ...

    Text Solution

    |

  8. If a ,b ,c ,d are four distinct positive numbers in G.P. then A. a +...

    Text Solution

    |

  9. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n)may be the geo...

    Text Solution

    |

  10. Insert 5 geometric means between 576 and 9.

    Text Solution

    |

  11. Let x be the arithmetic mean and y ,z be tow geometric means between a...

    Text Solution

    |

  12. Find two positive numbers whose difference is 12 an whose A.M. exce...

    Text Solution

    |

  13. If one geometric mean G and two arithmetic means A1a n dA2 be inserted...

    Text Solution

    |

  14. If a is the A.M. of b and c and the two geometric means are G1 and G2...

    Text Solution

    |

  15. If x in R , find the minimum value of the expression 3^x+3^(1-x)dot

    Text Solution

    |

  16. If x ,y ,z are distinct positive numbers, then prove that (x+y)(y+z)(z...

    Text Solution

    |

  17. If a ,b ,c are in G.P. then prove that (a^2+a b+b^2)/(b c+c a+a b)=(b+...

    Text Solution

    |

  18. If 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an A.P., prov...

    Text Solution

    |

  19. If a ,b ,c ,d are in G.P. prove that: (a b-c d)/(b^2-c^2)=(a+c)/b

    Text Solution

    |

  20. If a ,b ,c ,d are in G.P. prove that: (a^2+b^2),(b^2+c^2),(c^2+d^2) ar...

    Text Solution

    |