Home
Class 10
MATHS
If a, b, c are three consecutive terms o...

If a, b, c are three consecutive terms of an A.P. and x, y, z are three consecutive terms of a G.P. then prove that `x^(b-c)timesy^(c-a)timesz^(a-b)=1`

Promotional Banner

Topper's Solved these Questions

  • NUMBER AND SEQUENCES

    SURA PUBLICATION|Exercise EXECRISE 2.8|13 Videos

  • NUMBER AND SEQUENCES

    SURA PUBLICATION|Exercise EXECRISE 2.9|14 Videos

  • NUMBER AND SEQUENCES

    SURA PUBLICATION|Exercise EXECRISE 2.6|16 Videos

  • MENSURATION

    SURA PUBLICATION|Exercise Unit Test (Section -C)|2 Videos

  • ONE MARK QUESTIONS SET

    SURA PUBLICATION|Exercise Multiple Choice Question|250 Videos

Similar Questions

Explore conceptually related problems

If 3^(rd) , 7^(th) and 12^(th) terms of A.P. are three consecutive terms of a G.P., then the common ratio of G.P is

If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , then prove that either x >3.

If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , then prove that either x >3.

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3a cdot

Find the three consecutive terms in an A.P. whose sum is 18 and the sum of their squares is 140.

The difference between any two consecutive terms of an A.P. is ….

The sum of the three consecutive terms that are in A.P. is 27 and their product is 288. Find the three terms.

Let a, b and c be the 7th, 11th and 13th terms, respectively, of a non-constant A.P.. If these are also the three consecutive terms of a G.P., then (a)/(c ) is equal to

Find three consecutive terms in terms in an A.P. whose sum is -3 and the product of their cubes id 512.

SURA PUBLICATION-NUMBER AND SEQUENCES-EXECRISE 2.7
  1. Which of following sequences are in G.P. 4, 44, 444, 4444, …

    Text Solution

    |

  2. Which of following sequences are in G.P. 0.5, 0.05, 0.005, …

    Text Solution

    |

  3. Which of following sequences are in G.P. (1)/(3), (1)/(6), (1)/(12),...

    Text Solution

    |

  4. Which of following sequences are in G.P. 1, -5, 25, -125, …

    Text Solution

    |

  5. Which of following sequences are in G.P. 120, 60, 30, 18, …

    Text Solution

    |

  6. Which of following sequences are in G.P. 16, 4, 1, (1)/(4), …

    Text Solution

    |

  7. Write the first three terms of the G.P. whose first term and the commo...

    Text Solution

    |

  8. Write the first three terms of the G.P. whose first term and the commo...

    Text Solution

    |

  9. Write the first three terms of the G.P. whose first term and the commo...

    Text Solution

    |

  10. In a G.P. 729, 243, 81, … find t(7)

    Text Solution

    |

  11. Find x so that x+6, x+12 and x+15 are consecutive terms of Geometric P...

    Text Solution

    |

  12. Find the number of terms in the following G.P. 4, 8, 16, …, 8192

    Text Solution

    |

  13. Find the number of terms in the following G.P. (1)/(3), (1)/(9), (1)...

    Text Solution

    |

  14. In a G.P. the 9th term is 32805 and 6th term is 1215. Find the 12th te...

    Text Solution

    |

  15. Find the 10th term of G.P. whose 8th term is 768 and the common ratio ...

    Text Solution

    |

  16. If a, b, c are in A.P. then show that 3^(a), 3^(b), 3^(c) are in G.P.

    Text Solution

    |

  17. In a G.P. the product of three consecutive term is 27 and the sum of t...

    Text Solution

    |

  18. A man joined a company as Assistant Manager. The company gave him a st...

    Text Solution

    |

  19. Sivamani is attending an interview for a job and the company gave two ...

    Text Solution

    |

  20. If a, b, c are three consecutive terms of an A.P. and x, y, z are thre...

    Text Solution

    |