Home
Class 12
MATHS
If sum of the infinite G.P. p+1+(1)/(p)+...

If sum of the infinite G.P. `p+1+(1)/(p)+(1)/(p^(2))+… (p gt 2)` is 49/6, then sum of the 3rd term and the 4th term of the G.P. is

A

`(8)/(49)`

B

`(1)/(7)`

C

`(6)/(7)`

D

`(23)/(49)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

Sum of an infinite G.P. is 2 and sum of their cubes is 24, then 5th term of the G.P. is

Find the sum of first five terms of the G.P. 1,2,4, ….

If sum of an indinite G.P p,1,1//p,1//p^2 …=9/2.. Is then value of p is

If the sum of the n terms of a G.P. is (3^(n)-1) , then find the sum of the series whose terms are reciprocal of the given G.P..

If sum of an infinite G.P.p,1,1/p,1/p^(2),...,is9/2 then value of p is a.3 b.3/2 c.3 d.9/2

. The sum of an infinite number of terms of a G.P.is 20 ,and the sum of their squares is 100, then the first term of the G.P.is

If the sum of an infinite G.P. is (7)/(2) and sum of the squares of its terms is (147)/(16) then the sum of the cubes of its terms is

If the first term of G.P. is 7, its n^(th) term is 448 and sum of first n terms is 889, then find the fifth term of G.P.

The sum of an infinite G.P. is 16 and the sum of the squares of its terms is 153(3)/(5) . Find the fourth term of the progression :

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If one geometric mean G and two arithmetic means A1a n dA2 be inserted...

    Text Solution

    |

  2. If sum of the infinite G.P. p+1+(1)/(p)+(1)/(p^(2))+… (p gt 2) is 49/6...

    Text Solution

    |

  3. lt a1, a2, a3 ....... terms of this A.P., such that a4-a7+a10, then th...

    Text Solution

    |

  4. If (20)^(19)+2(21)(20)^(18)+3(21)^(2)(20)^(17)+….+20(21)^(19)=k(20)^(1...

    Text Solution

    |

  5. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  6. Suppose m arithmeti means are inserted between 1 and 31. If the ratio ...

    Text Solution

    |

  7. In a geometric progression the ratio of the sum of the first 5 terms t...

    Text Solution

    |

  8. If the r^(th) term of a series is 1 + x + x^2 + .......+ x^(r-1) , the...

    Text Solution

    |

  9. Let m be a positive integer, then S=overset(m)underset(k=1)Sigmak((1)/...

    Text Solution

    |

  10. Let f(n)=[(1)/(5)+(3n)/(100)]n, where [x] denotes the greatest integer...

    Text Solution

    |

  11. Find the sum of the series: 1^2-2^2+3^2-4^2+.....-2008^2+2009^2.

    Text Solution

    |

  12. The odd value of n for which 704+1/2(704)+… upto n terms = 1984-1/2(1...

    Text Solution

    |

  13. The positive integer n for which 2xx2^2xx+3xx2^3+4xx2^4++nxx2^n=2^(n+1...

    Text Solution

    |

  14. Sum of the series S=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+........... upt...

    Text Solution

    |

  15. If 1^(2)+2^(2)+3^(2)+…+2009^(2)=(2009)(4019)(335) and (1) (2009) +(2) ...

    Text Solution

    |

  16. If x gt 0, and log(2) + log(2)(sqrt(x)) + log(2) (4sqrt(x)) + log(2) (...

    Text Solution

    |

  17. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

    Text Solution

    |

  18. Let a1, a2, ,a(10) be in A.P. and h1, h2, h(10) be in H.P. If a1=h1=2...

    Text Solution

    |

  19. If a,b,c are in A.P.and a^(2),b^(2),c^(2) are in G.P.such that a lt ...

    Text Solution

    |

  20. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |