Home
Class 11
MATHS
The sum of the first 10 terms of th...

The sum of the first 10 terms of the series `9+99+999 +….., ` is

A

`(9)/(8) (9^(10)-1)`

B

`(100)/(9)(10^(9)-1)`

C

`(10^(9)-1)`

D

`(100)/(9)(10^(10)-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    MARVEL PUBLICATION|Exercise QUESTION|50 Videos
  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos

Similar Questions

Explore conceptually related problems

If the sum of the first n terms of the series

Sum of the first 18 terms of the series 1+4+7+......

Sum of the first 18 terms of the series 1+4+7+......

The sum of the first 10 terms common to the series 17, 21, 25, ... and 16, 21, 26,31 , cdots is

Find the sum of the first 8 terms of the series 2,6,18,54.

What is sum to the 100 terms of the series 9+99+999+…?

The sum of the first 2012 terms of a geometric progression is 200. The sum of the first 4024 terms of the same series is 380. Find the sum of the first 6036 terms of the series.

Finish The sum of the first 2012 terms of a geometric progression is 200. The sum of the first 4024 terms of the same series is 380. Find the sum of the first 6036 terms of the series. 500, 442, 542, 344

The sum of the first 2012 terms of a geometric progression is 200. The sum of the first 4024 terms of the same series is 380. Find the sum of the first 6036 terms of the series. 500, 442, 542, 344

MARVEL PUBLICATION-QUESTION PAPER 2018-QUESTION
  1. The equation of line passing throufh (3,-1,2) and perpendicular ...

    Text Solution

    |

  2. Letters in the word HULULULU are rearranged . The probability o...

    Text Solution

    |

  3. The sum of the first 10 terms of the series 9+99+999 +….., is

    Text Solution

    |

  4. If A,B ,C are the angle of Delta ABC then cot A .cot B + c...

    Text Solution

    |

  5. IF (dx)/(sqrt(16-9x^(2)))=A sin^(-1) (bx )+c then A+B=

    Text Solution

    |

  6. int e^(x) [(2+sin 2x)/( 1+cos 2x )]dx =

    Text Solution

    |

  7. A coin is tossed three times .If X denotes the absolute diffe...

    Text Solution

    |

  8. IF 2 sin ( theta +(pi)/(3)) = cos (theta -(pi)/(6)), then ta...

    Text Solution

    |

  9. The area of the region bounded by x^(2) = 4y , y=1, y=4 and the...

    Text Solution

    |

  10. If f(x) =(e^(x^(2))-cos x)/(x^(2)), for x ne 0 is continous at ...

    Text Solution

    |

  11. The maximum value of 2x +y subject to 3x +5y le 26 and 5x +...

    Text Solution

    |

  12. IF bar a , bar b , bar c are mutually perpendicular vectors hav...

    Text Solution

    |

  13. IF points p( 4,5,x),Q (3,y,4) and R (5,8,0) are collinear , then ...

    Text Solution

    |

  14. IF the slope of one of the lines given by ax^(2) +2hxy + by...

    Text Solution

    |

  15. The equation of the line passing through the point (-3,1) and...

    Text Solution

    |

  16. The negation of the statement : Getting above 95% marks is n...

    Text Solution

    |

  17. cos 1^(@) ."" cos 2^(@) ."" cos 3^(@) "…." cos 179 ^(@)=

    Text Solution

    |

  18. If planes x- cy - bz =0 , cx-y+az =0 and bx + ay - z=0 pass th...

    Text Solution

    |

  19. The point of intersection of lines represented by x^(2) -y ^(2) ...

    Text Solution

    |

  20. A die is rolled .IF X denotes the number of positive divisors ...

    Text Solution

    |