Home
Class 12
MATHS
Let S1, S2, be squares such that for ea...

Let `S_1, S_2, ` be squares such that for each `ngeq1,` the length of a side of `S_n` equals the length of a diagonal of `S_(n+1)dot` If the length of a side of `S_1i s10c m ,` then for which of the following value of `n` is the area of `S_n` less than 1 sq. cm? a. 5 b. 7 c. 9 d. 10

A

7

B

8

C

9

D

10

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos

  • PROGRESSIONS

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

Let S_(1),S_(2),... be squares such that for each n>=1, the length of a side of S_(n) equals the length of a diagonal of S_(n+1). If the length of a side of S_(1)is10cm, then for which of the following value of n is the area of S_(n) less than 1 sq.cm? a.5 b.7 c.9 d.10

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Let a1, a2, ,a(10) be in A.P. and h1, h2, h(10) be in H.P. If a1=h1=2...

    Text Solution

    |

  2. If a,b,c are in A.P.and a^(2),b^(2),c^(2) are in G.P.such that a lt ...

    Text Solution

    |

  3. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |

  4. Let T(r) be the rth term of an AP, for r=1,2,… If for some positive in...

    Text Solution

    |

  5. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  6. If the sum of the first 2n terms of the A.P.2,5,8,…, is equal to the s...

    Text Solution

    |

  7. For a positive integer n let a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot Then a(...

    Text Solution

    |

  8. 17. If x gt 1, y gt 1, z gt1 are in G.P, then 1/(1+ ln x), 1/( 1+ ln ...

    Text Solution

    |

  9. Let x be the arithmetic mean and y ,z be tow geometric means between a...

    Text Solution

    |

  10. If 1/1^3 + (1+2)/(1^3+2^3)+(1+2+3)/(1^3+2^3+3^3) +.......n terms then ...

    Text Solution

    |

  11. Let underset(r=1)overset(n)sumr^(4)=f(n)," then "underset(r=1)overset(...

    Text Solution

    |

  12. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

    Text Solution

    |

  13. If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal...

    Text Solution

    |

  14. If a(n+1)=(1)/(1-a(n))" for " n ge 1 and a(3)=a(1)," then "(a(2022))^(...

    Text Solution

    |

  15. If f(x+y)=f(xy) AA x, y epsilon R, and f (2013) =2013, then f(-2013) e...

    Text Solution

    |

  16. If sum(r=1)^(n)T(r)=(n(n+1)(n+2)(n+3))/(12) where T(r) denotes the rt...

    Text Solution

    |

  17. The sum to n terms of the series 1/2+3/4+7/8+15/16+..... is given by

    Text Solution

    |

  18. let 0ltphiltpi/2, x=sum(n=0)^oocos^(2n)phi, y=sum(n=0)^oosin^(2n)phi a...

    Text Solution

    |

  19. The sum to n terms of the series (1)/(sqrt(7)+sqrt(10))+(1)/(sqrt(10)+...

    Text Solution

    |

  20. If S(n)=Sigma(r=1)^(n)t(r)=(1)/(6)n(2n^(2)+9n+13), then Sigma(r=1)^(n)...

    Text Solution

    |