Home
Class 12
MATHS
If the A.M. between p^(th) and q^(th) te...

If the A.M. between `p^(th) and q^(th)` terms of an A.P be equal to A.M between `r^(th) and s^(th)` terms of A.P then

A

`p+s= q +r`

B

`p+q = r+s`

C

`p+r= q+s`

D

`p+q + r + s=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • SETS AND RELATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

The sum of the 4^(th) and 8^(th) terms of an AP is 24 and the sum of the 6^(th) and 10^(th) terms is 44. find the first three terms of the AP.

If m times the m^(th) term of an A.P. is equal to n times the n^(th) term, prove that the (m+n)^(th) term of the A.P. is zero.

Find the 31^(th) term of an A.P. whose 11^(th) term is 38 and the 16^(th) term is 73.

The sum of 5^(th) and 9^(th) terms of A.P. is 72 and the sum of 7th and 12th terms is 97. Find the A.P.

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 5^(th) and 10^(th) terms of an A.P. are -6 and -21 respectively. Which term of this A.P. is zero?

The 8^(th) term of an A.P. is 17 and the 19^(th) term is 39. Find the 25^(th) term.

Find the sum to 'n' terms of an A.P. whose 7^(th) term is 30 and 13^(th) term is 54.

If the sum to 'n' terms of an A.P. is (4n^(2) -2n)/( 4) then the n^( th) term of the A.P. is

AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If a,b,c are in A.P then a((1)/(b) + (1)/(c )), b ((1)/(c ) + (1)/(a))...

    Text Solution

    |

  2. If p, q, r are in A.P the p^(2) (q + r), q^(2) (r + p), r^(2) (p+q) ar...

    Text Solution

    |

  3. If the A.M. between p^(th) and q^(th) terms of an A.P be equal to A.M ...

    Text Solution

    |

  4. If n A.M's are inserted between two quantites a and b then their sum i...

    Text Solution

    |

  5. If n A.M.'s are inserted between 4 and 96 then sum of n A.M.'s is

    Text Solution

    |

  6. If n A.M.'s are inserted between 20 and 80 such that the ratio of firs...

    Text Solution

    |

  7. Fifth term of G.P. is 2. The product of its first nine terms is

    Text Solution

    |

  8. If (m+n)^(th) term and (m-n)^(th) terms of a G.P. are p and q respecti...

    Text Solution

    |

  9. Let a(n) be the n^(th) term of G.P. If Sigma(n=1)^(100)a(2n)=alpha and...

    Text Solution

    |

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

    Text Solution

    |

  11. If l, m, n are the p^(th), q^(th), r^(th) terms of a G.P which are +ve...

    Text Solution

    |

  12. If S=1 + a + a^(2) + ….+ oo (a lt 1) then the value of q=

    Text Solution

    |

  13. If x= Sigma(n=0)^(oo) a^(n), y= Sigma(n=0)^(oo) b^(n), z= Sigma(n=0)^(...

    Text Solution

    |

  14. If 3 and 2 are A.M and G.M of the roots of a quadratic equation then t...

    Text Solution

    |

  15. If a,b,c are in G.P where a,b,c are positive numbers and "log"(5c)/(a)...

    Text Solution

    |

  16. The arithrmetic mean of two positive numbers is 9 and geometric mean i...

    Text Solution

    |

  17. If A and G are A.M and G.M between two positive numbers a and b are co...

    Text Solution

    |

  18. Between 4 and 2916, (2n+1) G.M's are inserted then (n+1)^(th) G.M is

    Text Solution

    |

  19. If the A.M and G.M between two numbers are in the ratio m"n then the n...

    Text Solution

    |

  20. alpha, beta, gamma are the geometric means between ca, ab, ab, bc, bc,...

    Text Solution

    |