Home
Class 11
MATHS
The 5th, 8th and 11th terms of a G.P. ar...

The 5th, 8th and 11th terms of a G.P. are P, Q and S respectively. Show that `Q^(2)='PS`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    ICSE|Exercise EXERCISE 14 (f) |31 Videos

  • SEQUENCE AND SERIES

    ICSE|Exercise EXERCISE 14 (g) |13 Videos

  • SEQUENCE AND SERIES

    ICSE|Exercise EXERCISE 14 (d) |22 Videos

  • SELF ASSESSMENT PAPER 5

    ICSE|Exercise SECTION C|11 Videos

  • SEQUENCES AND SERIES

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

The 3rd, 7th and 11th terms of a G.P. are x, y and z respectively, then prove that y^(2)= xz.

The 5^(t h) , 8^(t h) and 11^(t h) terms of a G.P. are p, q and s, respectively. Show that q^2=p s .

The 4th and 7th terms of a G.P. are 18 and 486 respectively. Find the G.P.

If the 4^(th),7^(th) and 10^(th) terms of a G.P. are a, b and c respectively, prove that : b^(2)=ac

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

The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.

The (m+n)th and (m-n)th terms of a G.P. are p and q respectively. Show that the mth and nth terms are sqrt(p q) and p(q/p)^(m//2n) respectively.

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

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

If the 5^(th) and 11^(th) terms of an A.P. are 16 and 34 respectively. Find the A.P.

ICSE-SEQUENCE AND SERIES -EXERCISE 14 (e)
  1. Find: (i) the 7th term of 2,4,8,... (ii) the 9th term of 1,(1)/(2),(1)...

    Text Solution

    |

  2. The second term of a G.P. is 18 and the fifth term is 486. Find: (i)...

    Text Solution

    |

  3. Find the value of x for which x +9,x-6, 4 are the first three terms of...

    Text Solution

    |

  4. If 5, x, y, z, 405 are the first five terms of a geometric progression...

    Text Solution

    |

  5. Insert 3 geometric means between 16 and 256.

    Text Solution

    |

  6. Insert 5 geometric means between (1)/(3) and 243.

    Text Solution

    |

  7. If the A.M. and G.M. between two numbers are respectively 17 and 8, fi...

    Text Solution

    |

  8. The second, third and sixth terms of an A.P. are consecutive terms of ...

    Text Solution

    |

  9. The 5th, 8th and 11th terms of a G.P. are P, Q and S respectively. Sho...

    Text Solution

    |

  10. The (p+q)th term and (p-q)th terms of a G.P. are a and b respectively....

    Text Solution

    |

  11. If the pth, th, rth terms of a G.P. are x, y, z respectively, prove th...

    Text Solution

    |

  12. In a set of four numbers, the first three are in G.P. and the last thr...

    Text Solution

    |

  13. If a^((1)/(x))= b^((1)/(y))= c^((1)/(z)) and a,b,c are in G.P., prove ...

    Text Solution

    |

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

    Text Solution

    |

  15. Construct a quadratic equation in x such that the A.M. of its roots is...

    Text Solution

    |

  16. The fourth term of a G.P. is greater than the first term, which is pos...

    Text Solution

    |

  17. The first, eighth and twenty-second terms of an A.P. are three consecu...

    Text Solution

    |