Home
Class 12
MATHS
1+(1)/(2). (3)/(5) + (1.3)/(2.4) . (9)/(...

`1+(1)/(2). (3)/(5) + (1.3)/(2.4) . (9)/(25)+(1.3.5)/(2.4.6).(27)/(125)+…...oo=`

A

`sqrt(5/2)`

B

`sqrt(3/5)`

C

`sqrt(2/5)`

D

`sqrt(5/3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.1 (Level - 1) |52 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.2 (Level - 1) |19 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - II|109 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

1+ (1)/(10^2) + (1.3)/(1.2). (1)/(10^4) + (1.3.5)/(1.2.3) . (1)/(10^6) + …… oo =

1 + 1/3 + (1.3)/(1.2) .(1)/(3^2) + (1.3.5.)/(1.2.3).(1)/(3^3) + ……oo =

Show that 1 + 1/2.3/5 + (1.3)/(2.4) (3/5)^2 + (1.3.5)/(2.4.6) (3/5)^3 + …… = sqrt([5/2])

(1)/(3)-(1)/(2).(1)/(9)+(1)/(3).(1)/(27)-(1)/(4).(1)/(81)+….oo=

1+(1)/(2!)+(1.3)/(4!)+(1.3.5)/(6!)+...=

(1)/(1.2)+(1)/(3.4)+(1)/(5.6)+....

(5)/(1.2.3)+(7)/(3.4.5)+(9)/(5.6.7)+....=

AAKASH SERIES-BINOMIAL THEOREM-PRACTICE EXERCISE
  1. The coefficient of x^10 in (1-2x + 3x^2)/(1-x) is

    Text Solution

    |

  2. The coefficient of x^9 in the expansion of (1-5x)/(1+x) is

    Text Solution

    |

  3. The coefficient of x^4 in the expansion of ((1 -3x)^2)/((1 - 2x)) is

    Text Solution

    |

  4. For |x| lt 1, the coefficient of x^r in the expansion of ((1+x)^2)/((1...

    Text Solution

    |

  5. If x = 1 + 3a + 6a^2 + 10 a^3 + ……" to " oo terms |a| lt 1, y = 1+4a+1...

    Text Solution

    |

  6. Prove that : If |x| is so small that x^(2) and higher powers of x may ...

    Text Solution

    |

  7. If |x| is so small that all terms containing x^2 and higher powers of ...

    Text Solution

    |

  8. If x = (1*3)/(3*6)+(1*3*5)/(3*6*9)+(1*3*5*7)/(3*6*9*12)+. . . to in...

    Text Solution

    |

  9. 1-(1)/(5)+(1.4)/(5.10) - (1.5.7)/(5.10.15)+…..=

    Text Solution

    |

  10. 1+(1)/(2). (3)/(5) + (1.3)/(2.4) . (9)/(25)+(1.3.5)/(2.4.6).(27)/(125)...

    Text Solution

    |

  11. 1+(1)/(4) + (1.3)/(4.8) + (1.3.5)/(4.8.12)+…...=

    Text Solution

    |

  12. If x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+….oo then find 3x^(2)+6x.

    Text Solution

    |

  13. 2 + (5)/(2!3) + (5.7)/(3!3^2) + (5.7.9)/(4!3^2) + …..oo =

    Text Solution

    |

  14. Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(...

    Text Solution

    |

  15. Sho that 3/6 + (3.5)/(6.9) + (3.5.7)/(6.9.12)+ ……..oo 3 sqrt3 - 4

    Text Solution

    |

  16. 1 + 1/3 + (1.3)/(1.2) .(1)/(3^2) + (1.3.5.)/(1.2.3).(1)/(3^3) + ……oo =

    Text Solution

    |

  17. Observe the following statements : Statement - I: The total number...

    Text Solution

    |

  18. Let l,m,n are the coefficients of x^5 in (1+2x+3x^2+…..)^(-3//2), (...

    Text Solution

    |

  19. Match the following

    Text Solution

    |

  20. Match the following question

    Text Solution

    |