Home
Class 12
MATHS
Five numbers are in H.P. The middle term...

Five numbers are in H.P. The middle term is 1 and the ratio of the second and the fourth terms is 2 : 1. Then the sum of the first three terms is

A

`11/2`

B

5

C

2

D

`14//3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Five number are in H.P. The middle term is 1 and the ratio of the second and the fourth terms is 2 : 1 . Then the sum of the first three terms is

Five number are in H.P The middle term is 1 and the ratio of the second and the fourth term is 2:1 .Then the sum of the first three terms is -

The twelfth term of an A.P. is (-13) and the sum of its first four terms is 24, find the sum of first 10 terms of the A.P.

The first term of an A.P. is the same as that of a G.P., the common difference of the one and the common ratio of the other are both 4. If the sum of the first three terms of each series are same, find the fourteenth term of each series.

Find the third term of a G.P. whose common ratio is 3 and the sum of whose first seven terms is 2186

In a G.P., the sum of the first and the last term is 66, the product of the second and the last but one is 128 and the sum of terms is 126. If the decreasing G.P. is considered, then the sum of the infinite terms are -

Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6: 11 and the seventh term lies in between 130 and 140, then the common difference of this A.P. is

Suppose that all the terms of an arithmetic progression (A.P) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6 : 11 and the seventh terms lies in between 130 and 140, then the common difference of this A.P, is

The second term of an H.P. is 3/14 and the fifth term is 1/10 . Find the sum of its 6th and the 7th term.

In a GP , the ratio of the sum of the first eleven terms of the sum of the last even terms is 1//8 and the ratio of the sum of all the terms without the first nine to the sum of all terms without the last nine is 2 . Then the number of terms in the GP is

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. Let p (x) be a quardractic polynomial constant term 1. Suppose p (x) w...

    Text Solution

    |

  2. Eleven apples are distributed among a girl and a boy. Then which one o...

    Text Solution

    |

  3. Five numbers are in H.P. The middle term is 1 and the ratio of the sec...

    Text Solution

    |

  4. The limit of {(1)/(x)sqrt(1+x)-sqrt(1+(1)/(x^(2)))} as x to 0

    Text Solution

    |

  5. The maximum and minimum values of cos^(6)theta+sin^(6)theta are respec...

    Text Solution

    |

  6. If a, b, c are in A.P., then the straight line ax+2by+c=0 will always ...

    Text Solution

    |

  7. If one end of a diameter of the circle 3x^(2)+3y^(2)-9x+6y+5=0 is (1, ...

    Text Solution

    |

  8. The value of cos^(2)75^(@)+cos^(2)45^(@)+cos^(2)15^(@)-cos^(2)30^(@)-c...

    Text Solution

    |

  9. Suppose z=x+iy where x and y are real numbers and i=sqrt(-1). The poin...

    Text Solution

    |

  10. The equation 2x^(2)+5xy-12y^(2)=0 represents a

    Text Solution

    |

  11. The line y=x intersects the hyperbola (x^(2))/(9)-(y^(2))/(25)=1 at th...

    Text Solution

    |

  12. The equation of the circle passing through the point (1, 1) and the po...

    Text Solution

    |

  13. Six positive numbers are in G.P., such that their product is 1000. If ...

    Text Solution

    |

  14. In the set of all 3xx3 real matrices a relation is defined as follows....

    Text Solution

    |

  15. The number of lines which pass through the point (2, -3) and are a dis...

    Text Solution

    |

  16. If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0 a...

    Text Solution

    |

  17. For any two real numbers a and b, we define a R b if and only if sin^(...

    Text Solution

    |

  18. Let n be a positive even integer. The ratio of the largest coefficient...

    Text Solution

    |

  19. Let exp (x) denote the exponential function e^(x). If f(x)=exp(x^((1)/...

    Text Solution

    |

  20. The sum of the series (1)/(1xx2)""^(25)C(0)+(1)/(2xx3)""^(25)C(1)+(1)...

    Text Solution

    |