Home
Class 12
MATHS
Let p= 3^(1//3) .3^(2//9).3^(3//27) ….oo...

Let `p= 3^(1//3) .3^(2//9).3^(3//27) ….oo` then `p^(1//3)`=

A

`3^(2//3)`

B

`sqrt3`

C

`3^(1//3)`

D

`3^(1/4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • SETS AND RELATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

If 'omega' is a complex cube root of unity, then omega^(((1)/(3)+(2)/(9)+(4)/(27)+...oo))+omega^(((1)/(2)+(3)/(8)+(9)/(32)+...oo))=

Let P and Q be 3xx3 matrices with P!=Q . If P^(3)=Q^(3) and P^(2)Q=Q^(2)P , then determinant of (P^(2)+Q^(2)) is equal to

The probabilities of three mutually exclusive events are respectively given as (1+3P)/(3),(1-P)/(4),(1-2P)/(2). Prove that (1)/(3)lePle(1)/(2)

If 5(p-3)=3(p-2)then p=

1^(3)- 2^(3) + 3^(3) - 4^(3) + …….+9^(3) =

(1)/(3)+(1)/(2.3^(2))+(1)/(3.3^(3))+(1)/(4.3^(4))+….oo=

Suppose S={0,1,2,3} be a sample space of a randomm experiment. P(0)=0.1 , P(1)=0.3 , P(2)=0.3 and P(3)=0.3 and P(A)=sum_(a in A)P(a) for any subset A of S. Is P a probability function or not.

A random variable X has its range {1,2,3}. If P(X=1)=1//6, P(X=2)=1//3.P(X=3)=1//2 then mean =

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

AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If 1+ 2x + 3x^(2) + 4x^(3) + …oo= (9)/(4) (|x| lt 1) then x=

    Text Solution

    |

  2. If the sum to infinity of the series 3 + 5x + 7x^(2) + …oo = (44)/(9) ...

    Text Solution

    |

  3. Let p= 3^(1//3) .3^(2//9).3^(3//27) ….oo then p^(1//3)=

    Text Solution

    |

  4. If (a + b e^(x))/(a-b e^(x)) = (b + c e^(x))/(b- c e^(x))= (c + d e^(x...

    Text Solution

    |

  5. Given sum of the first n terms of an A.P is 2n+ 3n^(2). Another A.P is...

    Text Solution

    |

  6. The sum (3)/(1^(2)) + (5)/(1^(2) + 2^(2)) + (7)/(1^(2)+ 2^(2) + 3^(2))...

    Text Solution

    |

  7. Given a sequence of 4 numbers, first three of which are in G.P.,and th...

    Text Solution

    |

  8. The value of 1^(2) + 3^(2) + 5^(2) + …+ 25^(2) is

    Text Solution

    |

  9. Let a(1), a(2), a(3)….. be terms of an A.P. If (a(1) + a(2) + …..a(p))...

    Text Solution

    |

  10. The sum of the series 2^(2) + 2(4^(2)) + 3(6^(2)) + ….upto 10 terms is

    Text Solution

    |

  11. If S= tan^(-1) ((1)/(n^(2) +n+1)) + tan^(-1) ((1)/(n^(2) + 2n+ 3))+ …....

    Text Solution

    |

  12. If a(1), a(2), a(3),…, a(n) are in A.P such that a(4) - a(7) + a(10)= ...

    Text Solution

    |

  13. Given an A.P whose terms are all positive integers. The sum of its nin...

    Text Solution

    |

  14. If the sum (3)/(1^(2)) + (5)/(1^(2) + 2^(2)) + (7)/(1^(2) + 2^(2) + 3^...

    Text Solution

    |

  15. In a geometric progression, if the ratio of the sum of first 5 terms t...

    Text Solution

    |

  16. The sum of the first 20 terms common between the series 3+7 + 11 + 15…...

    Text Solution

    |

  17. Let G be the geometric mean of two positive numbers a and b, and M be ...

    Text Solution

    |

  18. The lest positive integer n such that 1- (2)/(3)- (2)/(3^(2))- ….- (2)...

    Text Solution

    |

  19. The number of terms in an A.P is even the sum of the odd terms in it i...

    Text Solution

    |

  20. Let f(n)= [(1)/(3) + (3n)/(100)]n, where [n] denotes the greatest inte...

    Text Solution

    |