Home
Class 11
MATHS
The 5^th, 8^th and 11^th terms of a GP a...

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

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 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.

The 5^(th) and 7^(th) terms of a G.P. are 12 and 48 respectively. Then the 9^(th) term is

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

The p^ (th) , q^ (th) and r^ (th) terms of an A.P. are a, b, c respectively. Show that (q-r)a+(r-p) b+(p-q) c=0

The (m+n) th and (m-n ) th terms of a G.P are p and and q respectively . The the mth term of the G.P is

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 6^(th) and 17^(th) terms of an A.P are 19 and 41 respectively, find the 40^(th) term.

The p^(th),q^(th) and r^(th) terms of an A.P. are a,b,c respectively. Show that (q-r)a+(r-p)b+(p-q)c=0

MAXIMUM PUBLICATION-SEQUENCE AND SERIES-EXAMPLE
  1. Find the 5^th term of the sequence whose nth term is an=(n(n-2))/(n+3)

    Text Solution

    |

  2. Write the sum of first n natural numbers.

    Text Solution

    |

  3. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

    Text Solution

    |

  4. A man starts repaying a loan as first instalment of Rs. 1,000. If he ...

    Text Solution

    |

  5. Find the sum to n terms of the sequence 7,77,777,7777,…….

    Text Solution

    |

  6. Consider the AP 4,10,16,22,…… Find its common difference and the 7^th ...

    Text Solution

    |

  7. If the m^th terms of an AP is 1/n and the n^th term is 1/m, prove that...

    Text Solution

    |

  8. The 6^th term of the sequence whose n^th term is tn=(2n-3)/6 is ………………...

    Text Solution

    |

  9. Find the sum to infinity of the sequence 1,1/3,1/9,………

    Text Solution

    |

  10. If a, b, c are in AP and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, z ar...

    Text Solution

    |

  11. In an AP, the first term is 2 and the sum of the first five terms is ...

    Text Solution

    |

  12. In an AP, the first term is 2 and the sum of the first five terms is ...

    Text Solution

    |

  13. If AM and GM of two numbers are 10 and 8 respectively, find the number...

    Text Solution

    |

  14. In an AP if m^th term is 'n' and n^th term is 'm', find the (m+n)^th t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |