Home
Class 11
MATHS
Consider an infinite geometric series wi...

Consider an infinite geometric series with first term `a` and common ratio `r`. If its sum is 4 and the second term is 3/4, then (a)`a=4/7, r=3/7` (b). `a=2, r=3/8` (c). `a=3/2, r=1/2` (d). `a=3, r=1/4`

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

Write the GP if the first term a=3, and the common ratio r=2.

The sum of an infinite geometric series is (1)/(3) and its first terms is (1)/(4) , find the series.

The sum of an infinite geometric series is 6 and the sum of its first two terms is (9)/(2) , find its common ratio.

In a geometric series, the first term is a and common ratio is rdot If S_n denotes the sum of the terms and U_n=sum_(n=1)^n S_n ,then r S_n+(1-r)U_n equals a. 0 b. n c. n a d. n a r

The sum of an infinite geometric series with positive terms is 3 and the sums of the cubes of its terms is (27)/(19) . Then the common ratio of this series is

Write three terms of the GP when the first term 'a' and the common ratio 'r' are given? (i) a=4, r=3 (ii) a=sqrt(5), r=1/5 (iii) a= 81, r=-1/3 , (iv) a= 1/64, r=2

In a series, the rth term is (2r + 1).2r. Find the sum of 1st n terms of this series.

The rth term of a series is (2r + 1)2^(r ) , find the sum of first n terms of the series.

The mean of r numbers of terms of a series is bary. If the sum of 1st (r - 1) terms is R, then the rth term will be

Find the sum of first n terms and the sum of first 5 terms of the geometric series 1+2/3+4/9+......

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Number of positive integral ordered pairs of (x,y), so that 8,x,y are ...

    Text Solution

    |

  2. If three positive real numbers a,b ,c are in A.P such that a b c=4 , t...

    Text Solution

    |

  3. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  4. The maximum sum of the series 20+19 1/3+18 2/3+...... is (A) 310 (B) ...

    Text Solution

    |

  5. The sum of n terms of a progression is (2^n-1). Show that it is a GP a...

    Text Solution

    |

  6. Let a1 , a2 ,... be in harmonic progression with a1 = 5 and a20 = 25. ...

    Text Solution

    |

  7. An infinite G.P. has first term as a and sum 5, then a belongs to a) |...

    Text Solution

    |

  8. Let Ssub(0,pi) denote the set of values of x satisfying the equation 8...

    Text Solution

    |

  9. Find the number of terms of a G.P. whose first term is ¾, common ratio...

    Text Solution

    |

  10. In an A.P. (with usual notations) : (i) given a = 7, a13 = 35, find ...

    Text Solution

    |

  11. Find the geometric progression whose 4th term is 54 and the 7th term i...

    Text Solution

    |

  12. The first term of G.P. is 27 and 8th term is 1/81. Find the sum of its...

    Text Solution

    |

  13. The greatest integer by which 1+sum(r=1)^(30)rxxr ! is divisible is a....

    Text Solution

    |

  14. (lim)(ntooo)sum(r=1)^n r/(1xx3xx5xx7xx9xx.....xx(2r+1)) is equal to 1/...

    Text Solution

    |

  15. Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal ...

    Text Solution

    |

  16. Find the third term of a G.P. whose common ratio is 3 and the sum of w...

    Text Solution

    |

  17. If sum of an infinite G.P. : p ,1,1//p ,1//p^2, ........ is 9//2 then ...

    Text Solution

    |

  18. The sum of i-2-3i+4 up to 100 terms, where i=sqrt(-1) is 50(1-i) b. 2...

    Text Solution

    |

  19. The 24th term of an A.P. is twice its 10th term. Show that its 72nd te...

    Text Solution

    |

  20. If the seventh term of an A.P. is 1/9 and its ninth term is 1/7, find ...

    Text Solution

    |