Home
Class 9
MATHS
Prove that the product of n G.M.’s betwe...

Prove that the product of n G.M.’s between a and b is `(ab)^(n/2)`

Promotional Banner

Topper's Solved these Questions

  • PROGRESSION

    KALYANI PUBLICATION|Exercise EXERCISE|249 Videos

  • MATHEMATICAL LOGIC

    KALYANI PUBLICATION|Exercise EXERCISE|290 Videos

  • SYSTEM OF NUMERATION

    KALYANI PUBLICATION|Exercise EXERCISE|101 Videos

Similar Questions

Explore conceptually related problems

Insert five G.M.’s between 3 and 192.

Prove that the sum of n A.M.'s between any two numbers is equal to n times the A.M. of the two numbers.

Insert five G.M.'s between 8 and 1/8 .

Prove that the ratio of the sum of m A.M.’s between any two numbers to the sum of n A.M's between the same numbers is equal to m/n .

Insert three G.M.’s between 1 and 256.

Insert four G.M.'s between 7/4 and 56.

Determine 3 G.M.,s between 2 and 162.

The product of two numbers is 16. The product of two A.M.’s between them is 24. Find the numbers.

Inserting three G.M.'s between 1/9 and 9 verify that their product is equal to cube of G.M. of 1/9 and 9.

The sum of first n terms of an A.P. is m and that of first m terms is n. Prove that the sum of first m + n terms is -(m + n) .

KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. If A be the A.M. of two given numbers and g1 and g2 be two G.M.'s betw...

    Text Solution

    |

  2. a, b, c are in A.P. If x be the G.M. of a and b, and y be the G.M. of ...

    Text Solution

    |

  3. Prove that the product of n G.M.’s between a and b is (ab)^(n/2)

    Text Solution

    |

  4. The A.M. of two positive numbers a and b is twice their G.M. Prove tha...

    Text Solution

    |

  5. If A and G be the A.M. and G.M. of two numbers a and b and A:G=m:n,the...

    Text Solution

    |

  6. Find the sum of the following series 1 + 2 + 4….. to tenth term.

    Text Solution

    |

  7. Find the sum of the following series 1 + 3 + 9….... to tenth term

    Text Solution

    |

  8. Find the sum of the following series 128 + 64 + 32... to tenth term...

    Text Solution

    |

  9. Find the sum of the following series:1-3+9-27+…. to the 9th term.

    Text Solution

    |

  10. Find the sum of the following series:1/sqrt(2)-1+sqrt(2)… to the 10th ...

    Text Solution

    |

  11. Find the sum of the following series 1+1/3+1/3^2….to tenth term.

    Text Solution

    |

  12. Find the sum of the following series:2+1+1/2+1/(2^2)….to the nth term.

    Text Solution

    |

  13. Find the sum of the following series (x+y)/(x-y)+1+(x-y)/(x+y)+…. to...

    Text Solution

    |

  14. Find the sum of the following series (a-x)+(a^2-x^2)+(a^3-x^3)+….. T...

    Text Solution

    |

  15. Find the number of terms if- 1+2+4+….=32767

    Text Solution

    |

  16. Find the number of terms if- 64+32+16+….=127(1/2).

    Text Solution

    |

  17. Find the number of terms if- 3-6+12-24+….=-1023.

    Text Solution

    |

  18. Find the sum of first n terms of the following 1+11+111+1111+….

    Text Solution

    |

  19. Find the sum of first n terms of the following 5+55+555+….

    Text Solution

    |

  20. Find the sum of first n terms of the following 3+33+333+…..

    Text Solution

    |