Home
Class 12
MATHS
If first and (2n-1)^th terms of an AP, ...

If first and `(2n-1)^th` terms of an AP, GP. and HP. are equal and their nth terms are a, b, c respectively, then (a) a=b=c (b)a+c=b (c) a>b>c and `ac-b^2=0` (d) none of these

A

`a=b=c`

B

`a+c=b`

C

`ac-b^2=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -2 (Level -II) Multiple Correct /JEE Advanced|9 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -3 Subjective /JEE Advanced|35 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -1 Objective Problems /JEE Main Section -A : AP|24 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

Similar Questions

Explore conceptually related problems

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

The 4th, 7th and 10 th terms of a GP are a, b, c, respectively. Prove that b^(2)=ac .

The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that b^(2)=ac .

If the 4 th,7 th and 10 th terms of a GP are a,b and c respectively,then the reason between a, b and c is

If the first three terms of an A.P are b,c and 2b ,then find the ratio of b and c

If the first three terms of an A.P are b, c and 2b, then find the ratio of b and c

If a, b, c are in HP, then (a - b)/( b- c) is equal to

If p^(th),q^(th) and r^(th) terms of an A.P and G.P are both a,b and c respectively then show that a^(b-c).b^(c-a).c^(a-b)=1

MOTION-SEQUENCE & SERIES -Exercise -2 (Level -I) Objective Problems /JEE Main AP
  1. If 1,2,3….are first terms, 1,3,5….are common differences and S(1),S(2)...

    Text Solution

    |

  2. IF , a(1),a(2),a(3),….,a(n) are in AP with common difference d ( wher...

    Text Solution

    |

  3. Find three numbers in G.P. such that their sum is 14 and the sum of th...

    Text Solution

    |

  4. If the sum of an infinite G.P. be 3 and the sum of the squares of its ...

    Text Solution

    |

  5. If x^2+9y^2+25 z^2=x y z((15)/2+5/y+3/z),t h e n x ,y ,a n dz are in ...

    Text Solution

    |

  6. If b+ c,c + a, a +b are in H.P then show that a^2,b^2,c^2 are in

    Text Solution

    |

  7. If first and second terms of a HP are a and b, then its n^(th) term wi...

    Text Solution

    |

  8. If a,b,c are in A.P., then (bc)/(ca+ab),(ca)/(bc+ab),(ab)/(bc+ca)

    Text Solution

    |

  9. If p is positive, then the sum to infinity of the series, 1/(1+p) -(1-...

    Text Solution

    |

  10. Find the sum of the series 1-3/2+5/4-7/8+9/16..........oo

    Text Solution

    |

  11. Find the sum of n terms of the series the r^(th) term of which is (2r+...

    Text Solution

    |

  12. If Hn=1+1/2+1/3+.... +1/n, then value of 1+3/2+5/3+....+(2n-1)/n is

    Text Solution

    |

  13. Find the sum of all possible products of the first n natural numbers t...

    Text Solution

    |

  14. {an} and {bn} are two sequences given by an=(x)^(1//2^n) +(y)^(1//2^n)...

    Text Solution

    |

  15. If G1 and G2 are two geometric means and A is the arithmetic mean inse...

    Text Solution

    |

  16. If sum of A.M. and H.M between two numbers is 25 and their GM is 12, t...

    Text Solution

    |

  17. Find two numbers whose arithmetic mean is 34 and the geometric mean is...

    Text Solution

    |

  18. The ratio between the GM’s of the roots of the equations ax^2+bx+c=0 a...

    Text Solution

    |

  19. One side of an equilateral triangle is 24 cm. The midpoints of its sid...

    Text Solution

    |

  20. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

    Text Solution

    |