Home
Class 12
MATHS
If the second and fifth terms of a G.P. ...

If the second and fifth terms of a G.P. are 24 and 3 respectively, then the sum of first six terms is

A

181

B

`181/2`

C

189

D

`189/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

If the first term of a G.P. is 729 and its 7^(th) term is 64, then the sum of first seven terms is

The 104th term and 4th term of an A.P. are 125 and 0. Find the sum of first 35 terms.

The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560, respectively. Find the first term and the number of terms in G.P.

If the nth term of an A.P. is t_(n) =3 -5n , then the sum of the first n terms is ………

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

Sum of n-terms of a G.P. is ___.

If the first, fifth and last terms of an A.P. is l , m , p , respectively, and sum of the A.P. is ((l+p)(4p+m-5l))/(k(m-l)) then k is

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. If two positive numbers are in the ratio 3 + 2sqrt(2) : 3 - 2sqrt(2), ...

    Text Solution

    |

  2. Let x(1), x(2), …… , x(n) be in an A.P. If x(1) + x(4) + x(9) + x(11) ...

    Text Solution

    |

  3. If the second and fifth terms of a G.P. are 24 and 3 respectively, the...

    Text Solution

    |

  4. If the sum of first 75 terms of an A.P. is 2625, then the 38^(th) term...

    Text Solution

    |

  5. If -5, k, -1 are in A.P., then the value of k is equal to

    Text Solution

    |

  6. Let T(n) denote the number of triangles which can be formed by using t...

    Text Solution

    |

  7. if 1,log(9)(3^(1 - x) + 2),log(3)[4.3^(x) - 1] are in A.P. then x equa...

    Text Solution

    |

  8. 1^(3) - 2^(3) + 3^(3) + 4^(3) + .... + 9^(3) =

    Text Solution

    |

  9. Sum of infinite number of terms in GP is 20 and sum of their square is...

    Text Solution

    |

  10. The value of 2^(1/4), 4^(1/8), 8^(1/16) ...... infty is

    Text Solution

    |

  11. Fifth term of a GP is 2, then the product of 1ts 9 terms is

    Text Solution

    |

  12. If the system of linear equations x + 2ay + az = 0,x + 3by + bz = 0,x ...

    Text Solution

    |

  13. Let f(x) be a polynomial function of second degree. If f(1) = f(-1) an...

    Text Solution

    |

  14. The sum of the series 1/1.2 - 1/2.3 + 1/3.4 … upto infty is equal to

    Text Solution

    |

  15. If x(1),x(2),x(3)as well as y(1),y(2),y(3) are in geometric progressio...

    Text Solution

    |

  16. Let T, be the r^(th) term of an A.P. whose first term is a and common ...

    Text Solution

    |

  17. The sum of first n terms of the series 1(2) + 2.2^(2) + 3^(2) + 2.4^(2...

    Text Solution

    |

  18. The sum of series 1/2! + 1/4! + 1/6! + …….. is

    Text Solution

    |

  19. If the coefficients of r^(th),(r + 1)^(th) and (r + 2)^(th) terms in t...

    Text Solution

    |

  20. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

    Text Solution

    |