Home
Class 14
MATHS
Find the sum of 1+2/3+4/9+6/27+8/81+10/2...

Find the sum of `1+2/3+4/9+6/27+8/81+10/243+....+oo`:

A

(A) 5/4

B

(B) 6/5

C

(C) 19/45

D

(D) 81/17

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

Find the sum : 6/4 + 9/8

Find the sum of series in GP 1/3, 1/9, 1/27 ……………….. up to oo

Find the sum: 5/8+3/(10) (ii) 4 3/4+9 2/5

Find the missing numbers. 3, 9, 27, 81, ...

Find the sum of the series (27)/(8) + (9)/(4) + (3)/(2) + … oo

Find the 15th term of the series 243, 81, 27, …

Find the sum of the GP: (i) 1+3+9+27+... to 7 terms (ii) 1+sqrt(3)+3+3sqrt(3)+... to 10 terms (iii) 0.15+0.015+0.0015+... to 6 terms (iv) 1-1/2+1/4-1/8+... to 9 terms (v) sqrt(2)+1/sqrt(2)+1/(2sqrt(2))+... to 8 terms (vi) 2/9-1/3+1/2-3/4+... to 6 terms

Find the sum of the first 6 terms of the G.P. 3, 9/2 , (27)/(4) ,(81)/(8) ,…

Find the sum 1+(2)/(6)+(2.5)/(6.12)+(2.5.8)/(6.12.18)+....oo

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. In the zoolozical park lucknow there are four kinds of animals viz. El...

    Text Solution

    |

  2. What is the sum of n terms of the series -1 + 1^2 - 2 + 2^2 - 3 + 3^2 ...

    Text Solution

    |

  3. Find the sum of 1+2/3+4/9+6/27+8/81+10/243+....+oo:

    Text Solution

    |

  4. Sum of n terms of the series loga + log((a^2)/(b)) + log((a^3)/(b^2...

    Text Solution

    |

  5. If a1 , a2 , a3, …."" an are in A.P. where ai gt 0 for all i , then th...

    Text Solution

    |

  6. If log2,log(2^x-1)a n dlog2log(2^x+3) are in A.P., write the value of ...

    Text Solution

    |

  7. If 1 , logy , x , logz , y , -15 logx z are in A.P. , then which is co...

    Text Solution

    |

  8. If x , y, z are in G.P. and a^x = b^y = c^z , then logb a* logb c is ...

    Text Solution

    |

  9. If log(2)(5.2^(x)+1),log(4)(2^(1-x)+1) and 1 are in A.P,then x equals

    Text Solution

    |

  10. I 1,log9(3^(1-x)+2), log3(4.3^x-1) are in A.P. then x equals (A) log34...

    Text Solution

    |

  11. If xgt1,ygt1,zgt1 are in G.P. then 1/(a+Inx), 1/(1+Iny), 1/(1+Inz) are...

    Text Solution

    |

  12. Let a1,a2 ,…. , a10 be in A.P. and h1,h2 …. h10 be in H.P. If a1=h1...

    Text Solution

    |

  13. Let S1 , S2 , …. Be squares such that for each n ge 1 the length of a...

    Text Solution

    |

  14. Let A1, G1, H1 denote the arithmetic, geometric and harmonic means, re...

    Text Solution

    |

  15. The arithmetic mean and geometric mean of two numbers are 10 and 18 re...

    Text Solution

    |

  16. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  17. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

  18. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

    Text Solution

    |

  19. Let a1,a2 ,…. , a10 be in A.P. and h1,h2 …. h10 be in H.P. If a1=h1...

    Text Solution

    |

  20. For a positive integer n , let a(n) = 1+ 1/2 + 1/3 +…+ 1/(2^(n)-1) ...

    Text Solution

    |