Home
Class 11
MATHS
The 5th and 8th terms of a geometric seq...

The 5th and 8th terms of a geometric sequence of real numbers are 7! And 8! Respectively. If the sum to first `n` tems of the G.P. is 2205, then `n` equals_______.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Find the geometric series whose 5th and 8th terms are 80 and 640 respectively.

The 5th and 11th terms of an A.P. are 41 and 20 respectively. What is its first term ? Find the sum of its first eleven terms.

The geometric mean of the first n terms of the G.P. a,ar,ar^2 ,….is

The first two term of a G.P are 125, and 25 respectively. Find the 5th and 6th term of the GP.

If the sum of 1st n term of an AP is n(3n + 5), find its 10th term

If the sum of first 2n terms of the A.P. 2, 5, 8,…. Is equal to the sum of the first n terms of the A.P. 57, 59, 61,… then find n.

The 8th term of the sequence {-8, -6, -4, -2,…} is-

The n term of an A.P is 7n-5,find the sum of first 20 terms of the series.

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

If the sum of the first 2n terms of the AP 2,5,8.....is equal to the sum of the first n terms of the AP 57,59,61, ....then n equals

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. How many two digit numbers are divisible by 3 ?

    Text Solution

    |

  2. If the roots of 10 x^3-n x^2-54 x-27=0 are in harmonic progression...

    Text Solution

    |

  3. The 5th and 8th terms of a geometric sequence of real numbers are 7! ...

    Text Solution

    |

  4. Find the 31st term of an A.P. whose 11th term is 38 and 6th term is 73...

    Text Solution

    |

  5. Find 23rd term of the AP 7, 3, 1, -1, .... ,-3.

    Text Solution

    |

  6. The 5th and 13th term of an A.P are 5 and -3 respectively. Find the A....

    Text Solution

    |

  7. If the sum of the first 14 terms of an AP is 1050 and its first term i...

    Text Solution

    |

  8. The next term of the G.P. x ,x^2+2,a n dx^3+10 is (729)/(16) b. 6 c. 0...

    Text Solution

    |

  9. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z), then x ,y ,a n dz are in a...

    Text Solution

    |

  10. If the sum of n terms of an A.P. is given by Sn=a+b n+c n^2, w h e r ...

    Text Solution

    |

  11. Find the sum of 20th term of the A.P (x+y), (x-y), (x-3y), ....

    Text Solution

    |

  12. Find the sum of the series 2+5+8+11+.....+191

    Text Solution

    |

  13. If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of a...

    Text Solution

    |

  14. If n >1 , the value of the positive integer m for which n^m+1 divides ...

    Text Solution

    |

  15. For an increasing A.P. a1, a2, an ifa1+a3+a5=-12 and a1a3a5=80 , then...

    Text Solution

    |

  16. If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x ,...

    Text Solution

    |

  17. Find the sum of all even integers between 101 and 199.

    Text Solution

    |

  18. Match the statements/expressions given in column I with the values g...

    Text Solution

    |

  19. Prove that 1+i^2+i^4+i^6 =0

    Text Solution

    |

  20. if a ,b ,c are in G.P.,then (log)a 10 ,(log)b10,(log)c 10 are in

    Text Solution

    |