Home
Class 12
MATHS
Let a(1), a(2), a(3)….. be terms of an A...

Let `a_(1), a_(2), a_(3)`….. be terms of an A.P. If `(a_(1) + a_(2) + …..a_(p))/(a_(1) + a_(2) + …..a_(q)) = (p^(2))/(q^(2)) (p ne q)` then `(a_(6))/(a_(21))=`

A

`(7)/(2)`

B

`(2)/(7)`

C

`(11)/(41)`

D

`(41)/(11)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

If a_(1), a_(2),…a_(n) are in H.P. then a_(1).a_(2) + a_(2).a_(3) + a_(3).a_(4) + …+ a_(n-1) .a_(n) =

If a_(1),a_(2),a_(3),………. are in A.P. such that a_(1) + a_(5) + a_(10) + a_(15) + a_(20) + a_(24) = 225, then a_(1) + a_(2) + a_(3) + …… a_(23) + a_(24) =

If a_(1), a_(2),….a_(n) are in H.P then (a_(1))/(a_(2) + a_(3) + …+ a_(n)), (a_(2))/(a_(1) + a_(3) + …+ a_(n)), (a_(3))/(a_(1) + a_(2) + a_(4)…+ a_(n)) ….(a_(n))/(a_(1) + a_(2) + a_(3) + ….a_(n-1))

If a_(1), a_(2), a_(3),…..a_(n) are in A.P where a_(i) gt 0, AA I then (1)/(sqrt(a_(1)) + sqrt(a_(2))) + (1)/(sqrt(a_(2)) + sqrt(a_(3)))+ …+ (1)/(sqrt(a_(n-1)) + sqrt(a_(n))) = (k)/(sqrt(a_(1)) + sqrt(a_(n))) then k=

In an AP a_(1) = -4, a_(6)= 6 then a_(2) = …….

n^(th) term of an A.P. is a_(n) . If a_(1)+a_(2)+a_(3) = 102 and a_(1) = 15 , then find a_(10) .

Let a_(1), a_(2) ….a_(10) be A.P and h_(1), h_(2)…h_(10) be in H.P. If a_(1)=h_(1)=2 and a_(10)= h_(10)=3 the a_(3)h_(8) =

In AP a_(p) = q, a_(q) = p then a_(p+q) = ………….

AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. Let a(1), a(2), a(3)….. be terms of an A.P. If (a(1) + a(2) + …..a(p))...

    Text Solution

    |

  2. If sum of the series a- (a+d) + (a+ 2d)- (a + 3d) +….up to 21 terms is

    Text Solution

    |

  3. The first term of an A.P of consecutive integers is p^(2) + 1 . The su...

    Text Solution

    |

  4. The sum of n terms of an A.P is 3n^(2) +n. Then 8^(th) term of the A.P...

    Text Solution

    |

  5. The ratio between the sum of n terms of two A.P.'s is 3n+8: 7n+15. The...

    Text Solution

    |

  6. The sum of all integers between 50 and 500 which are divisible by 7 is

    Text Solution

    |

  7. If 5^(th) term of A.P is (1)/(6) and 6^(th) term of A.P is (1)/(5) the...

    Text Solution

    |

  8. The interior angles of a polygon are in A.P. if the smallest angle is ...

    Text Solution

    |

  9. The sum of r terms of an A.P. is denoted by S(r ) and (S(m+1))/(S(n+1)...

    Text Solution

    |

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

    Text Solution

    |

  11. If s(1), s(2), s(3)…..s(p) are the sums of n terms of 'p' A.P's whose ...

    Text Solution

    |

  12. If a(1), a(2), a(3)…..a(n) are in A.P. with common difference d then s...

    Text Solution

    |

  13. If S(1), S(2), S(3) be the sum of 10, 20, 30 terms respectively of an ...

    Text Solution

    |

  14. The first, second and last terms of an A.P. are a, b, c respectively, ...

    Text Solution

    |

  15. If the sum of the first ten terms of an A.P is four times the sum of i...

    Text Solution

    |

  16. If a,b,c are in A.P then a((1)/(b) + (1)/(c )), b ((1)/(c ) + (1)/(a))...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |