Home
Class 11
MATHS
Determine the number of terms in G.P. <<...

Determine the number of terms in G.P. `<>,ifa_1=3,a_n=96a n dS_n=189.`

Text Solution

Verified by Experts

The correct Answer is:
n=6
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise ILLUSTRATIVE EXAMPLES|27 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (a) SATQ|5 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos

  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

Determine the number of terms in a G.P.if a_(1)=3,a_(n)=96, and S_(n)=189.

Determine the number of terms in G.P.(:a_(n):), if a_(1)=3,a_(n)=96 and S_(n)=189

Determine the number n of terms of the GP 3,6,12,…….. So that S_(n)=381

nth term of a G.P. is a + (n – 1)d.

Show that the ratio of the sum of first n terms of a G.P. and the sum of (n+1)th term to (2n)th term is (1)/(r^(n)) .

In a G.P if the first term is 3, nth term is 96 and the sum of n terms is 189, then the number of terms is

Let P_(n) denote the product of first n terms of the G.P. 16, 4, 1, 1/4,…., then overset(oo)underset(n=1)Sigma (P_(n))^(1//n) =

If S_(1),S_(2),S_(3) be respectively the sums of n,2n and 3n terms of a G.P.,prove that S_(1)(S_(3)-S_(2))=(S_(2)-S_(1))^(2)

if S is the sum,P the product and R the sum of reciprocals of n terms in G.P. prove that P^(2)R^(n)=S^(n)

MODERN PUBLICATION-SEQUENCES AND SERIES-FAQs
  1. Evaluate : sum(i=1)^(10){(1/2)^(j-1)+(1/5)^(j+1)}

    Text Solution

    |

  2. Find the sum of first n terms and the sum of first 5 terms of the geo...

    Text Solution

    |

  3. Determine the number of terms in G.P. <<an>>,ifa1=3,an=96a n dSn=189.

    Text Solution

    |

  4. The sum to n terms of the series 11+103+1005+"…." is

    Text Solution

    |

  5. Find the sum of n terms of the series (a + b) + (a^2 + 2b) + (a^2 + 3b...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the least value of n for which the sum 1+3+3^2+ ton terms is grea...

    Text Solution

    |

  8. Find the sum to n terms of the series 4+44+4444+cdots

    Text Solution

    |

  9. Find the sumiof 50 terms of a sequence 7,7.7,7.77,7.777.

    Text Solution

    |

  10. If S(n) denotes the sum fo n terms of a G.P. whose first term and comm...

    Text Solution

    |

  11. If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N suc...

    Text Solution

    |

  12. A person has 2 parents, 4 grandparents, 8 great grand parents, and so ...

    Text Solution

    |

  13. An insect starts from a point and travels in a straight path 1 mm in t...

    Text Solution

    |

  14. Verify that 10,-9,8.1…………… is a geometric progression. Find the sum to...

    Text Solution

    |

  15. Find the sum to infinity of the G.P. -3/4,3/16,-3/64,………..

    Text Solution

    |

  16. Prove that:3^(1/2)xx3^(1/4)xx3^(1/8)xx...=3

    Text Solution

    |

  17. The first term of G.P. is 2 and the sum to infinity is 6. Find the com...

    Text Solution

    |

  18. If A=1+r^a+r^(2a)+ to ooa n dB=1+r^b+r^(2b)+oo , prove that r=((A-1)/A...

    Text Solution

    |

  19. Use geometric series to express 0.555 ... =0.bar(5) as a rational numb...

    Text Solution

    |

  20. Evaluate .23bar(45).

    Text Solution

    |