Home
Class 12
MATHS
The least positive integer n such that 1...

The least positive integer `n` such that `1-2/3-2/3^2-............-2/3^(n-1) < 1/100` is

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

The least positive integer n such that ((2i)^n)/((1-i)^(n-2)),i=sqrt(-1) , is a positive integer,is ______

The least positive integer n such that (2(i)/(1+i))^(n) is a positive integer is :

The least positive integer n such that ((2i)/(1+i))^(n) is a positive integer is 16b.8c.4d.2

Find the least positive integer n such that ((2i)/(1+i))^(n) is a positive integer.

The least positive integer n such that 2 divides n,3 divides n+1,4 divides n+2,5 divides n+3 and 6 divides n+4 is

The number of positive integers n in the set {1, 2, 3, .......100} for which the number (1^(2)+2^(2)+3^(2)+......+n^(2))/(1+2+3+......+n) is an integer is

The least positive integer n for which ((1+sqrt(3)i)/(1-sqrt(3)i))^(n) = 1 , is

The least positive integer n for which ((1+i sqrt3)/(1-isqrt3))^(n)=1, is

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. The sum of the first 20 terms common between the series 3 +7+11+15+.....

    Text Solution

    |

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

    Text Solution

    |

  3. The least positive integer n such that 1-2/3-2/3^2-............-2/3^(n...

    Text Solution

    |

  4. Number of terms of an AP is even. The sum of odd terms is 24 an that o...

    Text Solution

    |

  5. where f (n) = [(1)/(3) + (3n)/(100)] n, where [ n] denotes the greate...

    Text Solution

    |

  6. If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">...

    Text Solution

    |

  7. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  8. The value of sum(r = 16)^(30)(r + 2)(r - 3) is equal to :

    Text Solution

    |

  9. The sum of the 3rd and the 4th terms of a G.P. is 60 and the product o...

    Text Solution

    |

  10. If sum(n=1)^5 1/(n(n+1)(n+2)(n+3))=k/3, then k is equal to :-

    Text Solution

    |

  11. If the 2^(nd), 56^(th) and 9^(th) terms of a non-constant A. P. are in...

    Text Solution

    |

  12. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

    Text Solution

    |

  13. Let a1, a2, a3, ....an,.........be in A.P. If a3 + a7 + a11 + a15 = 7...

    Text Solution

    |

  14. For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3a...

    Text Solution

    |

  15. Let a,b,c in R. " If " f(x) =ax^(2)+bx+c be such that a+b+c=3 and f(x+...

    Text Solution

    |

  16. If the arithmetic mean of two numbers a and b,a>b>0, is five times the...

    Text Solution

    |

  17. If the sum of the first n terms of the series sqrt3+sqrt75+sqrt243+sqr...

    Text Solution

    |

  18. Sn=1/(1^3)+(1+2)/(1^3+2^3)+(1+2+3)/(1^3+2^3+3^3)+.........+(1+2+.....+...

    Text Solution

    |

  19. in three positive numbers a, b and c are in A.P. such that abc = 8, th...

    Text Solution

    |

  20. Let a1,a2,... a49 be in A.P. Such that sum(k=0)^12a(4k+1)=416 and a9+a...

    Text Solution

    |