Home
Class 11
MATHS
Suppose the sum of the geometric series ...

Suppose the sum of the geometric series `3+6+12+`…`+1536` is 3069 Find the number of terms in the series

Text Solution

Verified by Experts

10
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|83 Videos
  • SETS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|268 Videos

Similar Questions

Explore conceptually related problems

Suppose the sum of the geometric series 3+6+12+ … +1536 is 3069 Assuming that the sum contains n terms prove that r^(n-1)=512

Find the sum of n terms of the series 7+77+777+..

The sum of an infinite geometric series is 162 and the sum of its first n terms is 160. If the inverse of its common ratio is an integer, then which of the following is not a possible first term

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

Find the sum to n terms of the series: 8, 88, 888 ,…..

In an increasing G.P. the sum of the first and last term is 66 the product of the second and the last terms is 128 and the sum of the terms is 126 . Then number of terms in the series is .

Suppose that the first and the 5^(th) terms of an A.P. are-14 and 2 respectively If the sum of the terms of the A.P is 40, find the number of terms in the A.P.

The number of terms of an A.P. is even the sum of the odd terms is 24 sum of the even terms is 30 and the last term exceeds the first by 10 (1)/(2) then the number of terms in the series is

if the sum of 12^th and 22^th terms of an AP is 100. Find the sum of first 33 terms.

A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Suppose that a, ar, ar^2,ar^3,ar^4,ar^5 are the first 6 terms of a G.P...

    Text Solution

    |

  2. Suppose the sum of the geometric series 3+6+12+…+1536 is 3069 Assuming...

    Text Solution

    |

  3. Suppose the sum of the geometric series 3+6+12+…+1536 is 3069 Find the...

    Text Solution

    |

  4. Find the sum of n terms of the series 7+77+777+..

    Text Solution

    |

  5. Find the sum of n terms of the series 7+77+777+..........

    Text Solution

    |

  6. Consider an infinite G.P with first term a and common ratio r-(-1ltrlt...

    Text Solution

    |

  7. Consider an infinite G.P with first term a and common ratio r,(-1ltrlt...

    Text Solution

    |

  8. If |a|lt1 and b=a+a^2+a^3+ …to oo, can we write b=a/(1-a) ?

    Text Solution

    |

  9. If b = a+a^2+a^3+..... oo, lallt1.Prove that a=b/(1+b)

    Text Solution

    |

  10. Assume that 3.52 denotes 3.52222. If x=3.52, find 10x and 100x

    Text Solution

    |

  11. Assume that 3.52 denotes 3.52222. Express this as a rational fraction.

    Text Solution

    |

  12. Suppose 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an AP. P...

    Text Solution

    |

  13. Suppose 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an AP. P...

    Text Solution

    |

  14. Suppose that a,b,c,d are in G.P with common ratio r Prove that b+c=ar...

    Text Solution

    |

  15. Suppose that a,b,c,d are in G.P with common ratio r Prove that (b+c)(...

    Text Solution

    |

  16. A sum of Rs. 10,000 is invested at 8% p.a. compound interest? What is ...

    Text Solution

    |

  17. A sum of Rs. 10,000 is invested at 8% p.a. compound interest? How long...

    Text Solution

    |

  18. An investment firm claims that you can double your money every year if...

    Text Solution

    |

  19. An investment firm claims that you can double your money every year if...

    Text Solution

    |

  20. An investment firm claims that you can double your money every year if...

    Text Solution

    |