Home
Class 11
MATHS
A G.P consists of an even number of ter...

A G.P consists of an even number of terms. If the sum of all the terms is 5 times the sum of terms occupying odd places, then find its common ratio.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTIONBANK|79 Videos

  • SETS

    V PUBLICATION|Exercise QUESTION BANK|116 Videos

Similar Questions

Explore conceptually related problems

A G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of terms occupying of odd places, then find its common ratio.

. What is the sum of all terms in the first 30 rows ?

The sum of the first two terms of a GP Is -4 and the fifth term is 4 times the third term. Find the first term and the common ratio.

An AP consists of 23 terms. If the sum of the three terms in the middle is 141 and the sum of the last three terms is 261, then the first term is

The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then common ratio of the G.P. is

In an AP, the first term is 2 and the sum of the first five terms is one fourth the sum of the next five terms. Find the common dfference.

In an A.P. of which a is the first term if the sum of the first p terms is zero then the sum of the next q terms is

Find the sum of n terms of the AP, whose K^th term is a_k=5K+1 .

Suppose that a, ar , ar^2,ar^3,ar^4,ar^5 are the first 6 terms of a G.P If the ratio of the sum of first three terms and the sum of first 6 terms is 125:152 find the common ratio of the G.P

V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. The first term of a G.P is 1. The sum of the third and fifth terms is ...

    Text Solution

    |

  2. The sum of three numbers in G.P is 56 : If we subtract 1,7,21 from the...

    Text Solution

    |

  3. A G.P consists of an even number of terms. If the sum of all the term...

    Text Solution

    |

  4. The sum of the first four terms of an A.Pis 56. The sum of the last fo...

    Text Solution

    |

  5. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+d x)/(c-d x)(x ne 0), then show ...

    Text Solution

    |

  6. Let S be the sum, P, the product and R the sum of reciprocals of n ter...

    Text Solution

    |

  7. The p^ (th) , q^ (th) and r^ (th) terms of an A.P. are a, b, c respe...

    Text Solution

    |

  8. If a (1/b+1/c), b(1/c+1/a), c(1/a+1/b) are in A.P. Prove that a, b, c ...

    Text Solution

    |

  9. If a, b, c, d are in G.P. Prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) are...

    Text Solution

    |

  10. If a and b are the roots of x^2-3 x+p=0 and c and d are roots of x^2-1...

    Text Solution

    |

  11. If A and G be A. M and G. M respectively between two positive numbers....

    Text Solution

    |

  12. If a, b, c are in A.P, b, c, d are in G.P. and 1/c , 1/d,1/e are in A....

    Text Solution

    |

  13. Find the sum to n terms of the series: 5+55+555+………..

    Text Solution

    |

  14. Find the 20^( th) term of the series 2 xx 4+4 xx 6+6 xx 8+. . .,+ n t...

    Text Solution

    |

  15. Find the sum of the first n terms of the series : 3+7+13+21+31+. . .

    Text Solution

    |

  16. If S1, S2, S3 are the sum of first n natural numbers, their squares an...

    Text Solution

    |

  17. Find the sum to n terms of the series: (1^3)/(1)+(1^3+2^3)/(1+3) + ...

    Text Solution

    |

  18. Show that (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. .+n...

    Text Solution

    |

  19. A farmer buys a used tractor for Rs. 12,000. He pays Rs. 6000 cash and...

    Text Solution

    |

  20. Shamshad Ali buys a scooter for Rs. 22000. He pays Rs. 4000 cash and a...

    Text Solution

    |