Home
Class 12
MATHS
The first term of an infinite geometric ...

The first term of an infinite geometric series is 21. The seconds term and the sum of the series are both positive integers. The possible value(s) of the second term can not be

A

14

B

20

C

12

D

18

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

The first term of an infinite geometric series is 21.The second term and the sum of the series are both positive integers.Then which of the following is not the possible value of the second term 12 b.14 c.18 d.none of these

The sum of an infinite geometric series is 15 and the sum of the squares of these terms is 45.Find the series.

The sum of an infinite geometric series is 6. If its first terms is 2, find its common ratio.

The sum of first two terms of an infinite geometric series is 15 and each term is equal to the sum of all the terms following it, find the series.

The sum of an infinite geometric series is 2 and the sum of the geometric series made from the cubes of this infinite series is 24. Then the series is:

The sum of first 8 terms of the geometric series 2+6+18+54+ . . . Is

If the sum of the first n terms of the series

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

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

RESONANCE-DPP-QUESTION
  1. Let a(1),a(2),a(3), be three positive numbers which are G.P. with comm...

    Text Solution

    |

  2. If a ,b ,c are first three terms of a G.P. If the harmonic mean of aa ...

    Text Solution

    |

  3. The first term of an infinite geometric series is 21. The seconds term...

    Text Solution

    |

  4. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  5. In the given figure (circle), P T=5,P D=7a n dP A=2, then the value of...

    Text Solution

    |

  6. Let a1,a2,a3..... be an arithmetic progression and b1,b2,b3...... be ...

    Text Solution

    |

  7. Let a(1),a(2),a(3)"……." be an arithmetic progression and b(1), b(2), b...

    Text Solution

    |

  8. If x = tan'(pi)/(18) then 3x^(6) - 27x^(4) + 33x^(2) is equal to -

    Text Solution

    |

  9. The sequence form by common terms of 17,21,25,"….." & 16,21,26,"…." ha...

    Text Solution

    |

  10. If Sn denotes the sum of first n terms of an arithmetic progression an...

    Text Solution

    |

  11. If log(x)a, a^(x//2), log(b)x are in G.P. then x is equal to

    Text Solution

    |

  12. Solve |(x^2-5x+4)/(x^2-4)|<=1

    Text Solution

    |

  13. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

    Text Solution

    |

  14. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)...

    Text Solution

    |

  15. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  16. Let the n^(th) term of a series be given by tn = (n^2 -n-2)/(n^2+3n),n...

    Text Solution

    |

  17. a, b, c are the first three terms of geometric series. If the H.M. of ...

    Text Solution

    |

  18. Consider an A.P. a(1), a(2), "……"a(n), "……." and the G.P. b(1),b(2)"…....

    Text Solution

    |

  19. If sum(r=1)^(n) r(r+1) = ((n+a)(n+b)(n+c))/(3), where a gt b gt c, the...

    Text Solution

    |

  20. If 5 sinx cosy = 1 and 4 tan x = tany, then

    Text Solution

    |