Home
Class 12
MATHS
The sum of 0.2 +0.22+0.222+ … to n ter...

The sum of ` 0.2 +0.22+0.222+ …` to n terms is equal to

A

`(2/9)-(2/81)(1-10^(-n))`

B

`n-(1/9)(1-10^-n)`

C

`(2/9)[n-(1/9)(1-10^(-n))]`

D

`(2/9)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    BITSAT GUIDE|Exercise BITSET ARCHIVES |16 Videos

  • QUESTION-PAPERS-2013

    BITSAT GUIDE|Exercise Mathematics |45 Videos

Similar Questions

Explore conceptually related problems

If in an A.P.the sum of m terms is equal of n and the sum of n terms is equal to m, then prove that the sum of -(m+n) terms is (m+n).

If in an AP,the sum of m terms is equal to n and sum of n terms is equal to m.Then prove that sum of (m+n) terms is -(m+n)

If the sum of the first n terms of a sequence is equal to √ (3/ 2) ( n^ 2 − n ) , then the sum of the squares of these terms is equal to

Find the sum of 2+0.2+0.02+0.002+... upto 20 terms

If in an A.P.the sum of m terms is equal to n and the sum of n terms is equal to m then prove that the sum of (m+n) terms is -(m+n)

If the arithmetic progression whose common difference is nonzero the sum of first 3n terms is equal to the sum of next n terms.Then,find the ratio of the sum of the 2n terms to the sum of next 2n terms.

The sum of :3.^(n)C_(0)-8.. upto (n+1) terms is (n>=2):

If the sum to 2n terms of an Ap 2,5,8,11 , …. is equal to the sum to n terms of an AP 57,59,61,63, …. , then n is equal to

BITSAT GUIDE-QUESTION-PAPERS-2012-Mathematics (Single correct answer type:)
  1. Show that lim(n->oo)(1/(n+1)+1/(n+2)++1/(6n))=log6

    Text Solution

    |

  2. By eliminating the arbitrary constant A and B from y = Ax^(2)+Bx we g...

    Text Solution

    |

  3. If f(x) = (log (1+ax)-log (1-bx))/(x) for x ne 0 and f(0) = k and f(x...

    Text Solution

    |

  4. If 4 - 5i is a root of the quadratic equation x^(2) + ax + b = 0 the...

    Text Solution

    |

  5. If alpha and beta are the roots of the quadratic equation 4x^(2) + 3x ...

    Text Solution

    |

  6. If alpha , beta are the roots of ax^(2) + bx + c = 0 and alpha + k , b...

    Text Solution

    |

  7. Area of the triangle in the argand diagram formed by the complex numbe...

    Text Solution

    |

  8. Sum of the first n terms of the series 1/2+3/4+7/8+15/16+ . . . is equ...

    Text Solution

    |

  9. The sum of 0.2 +0.22+0.222+ … to n terms is equal to

    Text Solution

    |

  10. The number of ways in which a term of 11 players can be selected from ...

    Text Solution

    |

  11. The number of ways four boys can be seated around a round talble in fo...

    Text Solution

    |

  12. If the coefficient of second, third and fourth terms in the expansion ...

    Text Solution

    |

  13. If |(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=k(a-b)(b-c)(c-a), then k is e...

    Text Solution

    |

  14. |(a+b,a,b),(a,a+c,c),(b,c,b+c)| is equal to

    Text Solution

    |

  15. If Delta1=|(x,a,b),(b,x,a),(a,b,x)| and Delta2=|(x,b),(a,x)| are the ...

    Text Solution

    |

  16. The system x+4y-2z=3,3x+y+5z=7 and 2x+3y+z=5 has

    Text Solution

    |

  17. If the three points (k,2k ) (2k,3k) (3,1 ) are collinear, then k is eq...

    Text Solution

    |

  18. The foot of the perpendicular from the point (3, 4) on the line 3x - 4...

    Text Solution

    |

  19. A kite is flying at an inclination of 60^@ with the horizontal. If the...

    Text Solution

    |

  20. If the focus of parabola is at (0,-2) and its directrix is y = 3, then...

    Text Solution

    |