Home
Class 11
MATHS
Prove that 3^rd, 8^th and 13^th th terms...

Prove that `3^rd`, `8^th` and `13^th` th terms of a GP are x,y,z satisfies the equation of `y^(10)/(xz)^(5)=1`.

Promotional Banner

Topper's Solved these Questions

  • Relations and Functions

    MAXIMUM PUBLICATION|Exercise EXAMPLE|104 Videos
  • SETS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|115 Videos

Similar Questions

Explore conceptually related problems

If 3^rd , 8^th and 13^th th terms of a GP are x,y,z respectively, prove that x, y, z in GP.

The 5^th , 8^th and 11^th terms of a GP are p, q and s respectively. Prove that q^2 = ps .

If the p^th , q^th and r^th terms of a GP are a,b,c respectively, show that a^(q-r)b^(r-p)c^(p-q)=1

The 5th and 8th terms of a GP are 1458 and 54, respectively. The common ratio of the GP is

If the 4 ^(th), 10^(th) and 16^ (th) terms of a G . P are x, y and z respectively. Prove that x, y, z are in G.P

If the 4^(th),10^(th) and 16^(th) terms of a G.P. are x,y and z respectively ,then prove that x,y,z are in G.P.P.

If 3rd, 7th and 12th terms of an AP are three consecutive terms of a GP, then the common ratio of the GP is

Find the 10^(th) and n^ (th) terms of the G.P. 5,25,125, . . .

Find the 20^( th) and n^ (th) terms of the G. P, 5/2, 5/4, 5/8...

If the n^th term of a GP -2,4,-8,,16,…… is 1024. Find n.

MAXIMUM PUBLICATION-SEQUENCE AND SERIES-EXAMPLE
  1. In an AP if m^th term is 'n' and n^th term is 'm', find the (m+n)^th t...

    Text Solution

    |

  2. If 3^rd, 8^th and 13^th th terms of a GP are x,y,z respectively, prove...

    Text Solution

    |

  3. Prove that 3^rd, 8^th and 13^th th terms of a GP are x,y,z satisfies t...

    Text Solution

    |

  4. Which of the following is the nth term of an AP?

    Text Solution

    |

  5. Find the 10^th term of the sequence -6,-11/2,-5,…………...

    Text Solution

    |

  6. The sum of the first three terms of a GP is (39)/(10) and their produc...

    Text Solution

    |

  7. Find the 10^th term of an AP whose nth term is (2n-3)/6.

    Text Solution

    |

  8. Find the sum of the first 10 terms of the AP which is (2n-3)/6.

    Text Solution

    |

  9. Find the sum of the first 10 terms of a GP, whose 3^rdterm is 12 and 8...

    Text Solution

    |

  10. Find the 5^th term of the sequence whose n^th terman=(n^2-5)/4

    Text Solution

    |

  11. Find the sum of n terms of the series 7+77+777+..........

    Text Solution

    |

  12. Find the sum to n terms of the series. 1xx2+2xx3+3xx4+4xx5+............

    Text Solution

    |

  13. Find the sum of multiple of 7 between 200 and 400.

    Text Solution

    |

  14. The sum of first 3 terms of a GP is 39/10and their product Is 1. Find ...

    Text Solution

    |

  15. If 'a' is the first term and 'd is the common difference of an AP, the...

    Text Solution

    |

  16. In an AP, if the m^th term is 'n' and the n^th term is 'm', prove tha...

    Text Solution

    |

  17. Find the sum to n terms of the series. 1xx2+2xx3+3xx4+4xx5+............

    Text Solution

    |

  18. If the sum of certain number of terms of the AP 25,22,19,........is 11...

    Text Solution

    |

  19. Find the sum to n terms of the series 1xx2xx3+2xx3xx4+3xx4xx5+.........

    Text Solution

    |

  20. The 3^rd term of the sequence whose n^th term is (3/2)^(n+1)…………….

    Text Solution

    |