Home
Class 12
MATHS
Four geometric mens are inserted between...

Four geometric mens are inserted between the
number ` 2^(11) - 1 and 2^(11) + 1` . The product of these
geometric means is

A

` 2^(22) - 2^(11) + 1`

B

`2^(44) - 2^(23) + 1`

C

`2^(44) - 2 ^(22) + 1`

D

`2^(22) - 2^(12) + 1`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - C) More than one option are correct|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - D) Linked Comprehension|12 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A) One option is correct|60 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Four geometric means are inserted between 3^(13)-1 and 3^(13)+1. The product of these geometric means is ( i )3^(26)-1 (ii) 3^(52)-2*3^(26)+1( iii) 3^(52)+2*3^(26)-1( iv )3^(52)-3^(26)+1

Insert four geometric means between 6 and 192.

Insert 5geometric means between 576 and 9.

Insert 3 geometric means between 3 and 48.

Find the product o three geometric means between 4 and 1/4.

Insert 2 geometric means between 3 and 24

Insert n geometric means between a and b.

Four geometric means are inserted between 1/8 and 128. Find the third geometric mean.

Insert two geometric means between 9 and 243.

Find 3 geometric means between 10 and 160.

AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - B) One option is correct
  1. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

    Text Solution

    |

  2. The series . (2x)/(x + 3) + ((2x)/(x + 3))^(2) + ((2x)/(x + 3))^(3) +...

    Text Solution

    |

  3. Four geometric mens are inserted between the number 2^(11) - 1 an...

    Text Solution

    |

  4. Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx...

    Text Solution

    |

  5. If one G.M., G and two A.M.\'s p and q be inserted between two given q...

    Text Solution

    |

  6. the sum of three numbers in G.P. is 56. If we subtract 1,7,21 from the...

    Text Solution

    |

  7. Let a, b be the roots of the equation x^(2) - 4 x k(1) = 0 and c ,...

    Text Solution

    |

  8. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

    Text Solution

    |

  9. Sum of the series 1+2.2+3.2^2 +4.2^3+.....+100.2^99 is

    Text Solution

    |

  10. If 3+1/4(3+p)+1/(4^2)(3+2p)+... + oo=8, then p

    Text Solution

    |

  11. The value of 2^(1/4).4^(1/8).8^(1/16),,,,,,,oo is equal to.

    Text Solution

    |

  12. Let S denotes the infinite sum 2 + 5x + 9x^(2) + 14x^(3) + 2x^(4) ...

    Text Solution

    |

  13. The value of x + y + z is 15 if a, x, y, z, b are in A.P. while t...

    Text Solution

    |

  14. If x , y, z are positive reals satisfying 4xy + 6yz + 8 zx = 9 , ...

    Text Solution

    |

  15. (p)/(q) + (q)/(p) = (c)/(a) - (a)/(c)

    Text Solution

    |

  16. The sum to 100 terms of the series 1.2.3. + 2.3.4. + 3.4.5. + …+ n...

    Text Solution

    |

  17. 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

    |

  18. If x,y, z and w are non-zero real numbers and x^(2) + 5y^(2) + 5z^...

    Text Solution

    |

  19. If x^(18)=y^(21)=z^(28), then 3,3 log(y)x,3log(z)y,7log(x)z are in

    Text Solution

    |

  20. The coefficient of x^(101) in the expansion of (1 - x) (1- 2x) (1 ...

    Text Solution

    |