Home
Class 12
MATHS
If the first and (2n + 1)th terms of an ...

If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal and their (n + 1)th terms are a, b and c respectively, then

A

`a gt b gt c `

B

`ac = b^(2)`

C

a + b = c

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

Similar Questions

Explore conceptually related problems

If mth terms of an A.P . Is n and nth term is m, then (m + n)th term is

If (m+n)^(th) term and (m-n)^(th) terms of a G.P. are p and q respectively. Then the m^(th) term is

If the sum of first 15 terms of an A.P. is 675 and its first term is 10, then find 25th term.

If 10th term of an A.P is 15 and 15th term is 10, then 4th term is

If the sum of the first 10 terms of an A.P. is 1,200 and First term is 30. Then find the 6^(th) term.

The first, second and last terms of an A.P. are a, b, c respectively, then the sum to first n terms is

If 4^(th), 7^(th), 10^(th) terms of a G.P. are p, q, r respectively then

If the sum of the first 14 terms of an A.P is 1050 and its first term is 10 , find the 56^(th) term .

If the sum of the first 25 terms of an A.P. is 16, 250 and First term is 50. Then find the 15^(th) term.

The n^(th) term of an A.P is p and the sum of the first n terms is s. The first term is

DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If the harmonic mean between a and b is (a^(n + 1) + b^(n - 1))/(a^(n)...

    Text Solution

    |

  2. x,y are two real numbers. If A is half of their sum, G is root of thei...

    Text Solution

    |

  3. If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal...

    Text Solution

    |

  4. If H(1), H(2), ….. H(n) are n harmonic means between a and b (ne a), t...

    Text Solution

    |

  5. The harmonic mean of two numbers is 4 their arithmetic mean is A and g...

    Text Solution

    |

  6. The ratio of the harmonic mean to the geometric mean of two positive n...

    Text Solution

    |

  7. If b + c, c + a , a + b are in A.P then a , b , c are in

    Text Solution

    |

  8. If a^(2), b^(2), c^(2) are in A.P., then (a)/(b + c) , (b)/(c + a), (c...

    Text Solution

    |

  9. IF the roots of (b-c) x^2+ (c-a) x+ (a-b) =0 are equal then ...

    Text Solution

    |

  10. IF the roots of a(b-c)x^2+b (c-a) x+c (a-b)=0 are equal then a, ...

    Text Solution

    |

  11. If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 ...

    Text Solution

    |

  12. If the system of linear equations x+2ay+az=0, x+3by+bz=0,x+4ch+cz=0 ha...

    Text Solution

    |

  13. Let f (x ) be a polynomial function of second degree. If f (1) = f( -1...

    Text Solution

    |

  14. If x gt 1, y gt 1 , z gt 1 are in G.P then (1)/(1 + log x ), (1)/( 1...

    Text Solution

    |

  15. If (a + bx)/(a - bx) = (b + cx)/(b - cx) = (c + dx)/(c - dx)( x ne 0),...

    Text Solution

    |

  16. If a^(x) = b^(y) = c^(z) = d^(t) and a ,b ,c d are in G.P . Then x, y,...

    Text Solution

    |

  17. If a,b and c are in G.P then (b - a)/(b - c) + (b + a)/(b + c)

    Text Solution

    |

  18. If a,b,c are unequal numbers such that a,b,c are in A.P and b - a, c -...

    Text Solution

    |

  19. If 2(y - a) is the H.M between y - x and y - z, then x - a, y -a, z - ...

    Text Solution

    |

  20. Suppose a, b, c are positive resl numbers different from 1. If log(a) ...

    Text Solution

    |