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 x, respectively. Show that `q^2=ps`.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The 4th, 7th and 10th terms of a GP. are a, b, c respectively. Show that b^2 = ac .

The 5th, 8th, and 11th terms of a GP are p, q and s respectively. Find relation between p,q and s.

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 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

If the p^(th) , q^(th) and r^(th) terms of a G.P. are a, b and c, respectively. Prove that a^(q-r) b^(r-p)c^(P-q)=1 .

If 6th, 7th, 8th and 9th terms of (x+y)^n are a, b,c and d respectively, then prove that : (b^2-ac)/(c^2-bd)=4/3.a/c .

If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what is the sum of the first 20 terms ?

If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is:

If the 3rd and 9^(th) terms of an A.P. are 4 and - 8 respectively, which term of this A.P. is zero.

Find the 10th term of A.P if a=1 , d=2

PSEB-SEQUENCES AND SERIES-EXERCISE
  1. Find the 20th and nth terms of the G.P. 5/2,5/4,5/8,.....

    Text Solution

    |

  2. Find the 12th term of a G.P. whose 8th term is 192 and the common rati...

    Text Solution

    |

  3. The 5th, 8th and 11th terms of a G.P. are p, q and x, respectively. Sh...

    Text Solution

    |

  4. The 4th term of a G.P. is square of its second term, and the first ter...

    Text Solution

    |

  5. Which term of the following sequence:- 2,2sqrt2,4,.....is 128?

    Text Solution

    |

  6. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

    Text Solution

    |

  7. Which term of the following sequence:- 1/3,1/9,1/27,.....is 1/19683 ?

    Text Solution

    |

  8. For what values of x, the numbers -2/7,x, -7/2 are in G.P.?

    Text Solution

    |

  9. Find the sum to indicated number of terms of the geometric progression...

    Text Solution

    |

  10. Find the sum to indicated number of terms of the geometric progression...

    Text Solution

    |

  11. Find the sum to indicated number of terms of the geometric progression...

    Text Solution

    |

  12. Find the sum to indicated number of terms of the geometric progression...

    Text Solution

    |

  13. Evaluate sum(k=1)^11(2+ 3^k).

    Text Solution

    |

  14. The sum of first three terms of a G.P. is 39/10 and their product is 1...

    Text Solution

    |

  15. How many terms of G.P. 3, 3^2, 3^3, ... are needed to give the sum 120...

    Text Solution

    |

  16. The sum of first three terms of a G.P. is 16 and the sum of the next t...

    Text Solution

    |

  17. Given a G.P. with a= 729 and 7th term 64, determine S7.

    Text Solution

    |

  18. Find a G.P. for which sum of the first two terms is -4 and the fifth t...

    Text Solution

    |

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

    Text Solution

    |

  20. Find the sum of the products of the corresponding terms of the sequenc...

    Text Solution

    |