Home
Class 11
MATHS
The second term of an H.P. is 3/14 and ...

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.

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

If the sixth term of an H.P. is 10 and the 11th term is 18 Find the 16th term.

The first term of G.P. is 27 and 8th term is 1/81 . Find the sum of its first 10 terms.

The fifth terms of an A.P. is 30 and its twelfth term is 65, find the sum of its first 20 terms.

If fourth term of an HP is 3/5 and its 8th term is 1/3 , then find its first term.

If the 20th term of a H.P. is 1 and the 30th term is -1/17, then find its largest term.

The sum of first 15 terms of an A.P. is 750 and its first term is 15. Find its 20th term.

The third term of an A.P. is (1)/(5) and the 5th term is (1)/(3) . Show that the sum of 15 terms of the A.P. is 8.

If the sum of n terms of an A.P. is 3n^2 + 5n and its m^("th") term is 164, find the value of m .

If the common difference of an A.P. is – 3 and the 18th term is – 5, then find its first term.

The mth terms of a G.P is n and its nth term is m. Find its (2m - n)th term.

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...

    Text Solution

    |

  2. If a, b, care in GP then prove that a^3, b^3, c^3 are in GP.

    Text Solution

    |

  3. The second term of an H.P. is 3/14 and the fifth term is 1/10 . Find...

    Text Solution

    |

  4. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

    Text Solution

    |

  5. If the sixth term of an H.P. is 10 and the 11th term is 18 Find the 16...

    Text Solution

    |

  6. If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then ...

    Text Solution

    |

  7. Let Tr be the rth term of an A.P., for r=1,2,3,..... If for some pos...

    Text Solution

    |

  8. Let An = (3/4) -(3/4)^2 + (3/4)^3 +.....+(-1)^(n - 1) (3/4)^n , Bn = 1...

    Text Solution

    |

  9. For a positive integer n let a(n)=1+1/2+1/3+1/4+.......+1/((2^n)-1) th...

    Text Solution

    |

  10. If x >1,y >1,a n dz >1 are in G.P., then 1/(1+lnx),1/(1+l ny)a n d1/(1...

    Text Solution

    |

  11. Compute the 100th term of HP if the 10th and 20th term of HP are 20 an...

    Text Solution

    |

  12. Find the 6th and nth term of the GP 2, 6, 18, 54,.....

    Text Solution

    |

  13. If a,b,c are in AP and a^2,b^2,c^2 are in HP, then

    Text Solution

    |

  14. Let a ,b be positive real numbers. If a, A1, A2, b be are in arithmeti...

    Text Solution

    |

  15. The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, ...

    Text Solution

    |

  16. If a^2+b^2,a b+b c and b^2+c^2 are in G.P., then a ,b ,c are in a. A.P...

    Text Solution

    |

  17. If y^2=x za n da^x=b^y=c^z , then prove that (log)6a=(log)c bdot

    Text Solution

    |

  18. The geometric mean between -9 and -16 is a.12 b. -12 c. -13 d. none of...

    Text Solution

    |

  19. The value of 0.568 x 4.9 =?

    Text Solution

    |

  20. If (1+x)(1+x^2)(1+x^4)....(1+x^128)=sum(r=0)^nx^r then n is

    Text Solution

    |