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

`(41)/(11)`

B

`(121)/(1681)`

C

`(11)/(41)`

D

`(121)/(1861)`

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. Given sum of the first n terms of an A.P is 2n+ 3n^(2). Another A.P is...

    Text Solution

    |

  2. The sum (3)/(1^(2)) + (5)/(1^(2) + 2^(2)) + (7)/(1^(2)+ 2^(2) + 3^(2))...

    Text Solution

    |

  3. Given a sequence of 4 numbers, first three of which are in G.P.,and th...

    Text Solution

    |

  4. The value of 1^(2) + 3^(2) + 5^(2) + …+ 25^(2) is

    Text Solution

    |

  5. Let a(1), a(2), a(3)….. be terms of an A.P. If (a(1) + a(2) + …..a(p))...

    Text Solution

    |

  6. The sum of the series 2^(2) + 2(4^(2)) + 3(6^(2)) + ….upto 10 terms is

    Text Solution

    |

  7. If S= tan^(-1) ((1)/(n^(2) +n+1)) + tan^(-1) ((1)/(n^(2) + 2n+ 3))+ …....

    Text Solution

    |

  8. If a(1), a(2), a(3),…, a(n) are in A.P such that a(4) - a(7) + a(10)= ...

    Text Solution

    |

  9. Given an A.P whose terms are all positive integers. The sum of its nin...

    Text Solution

    |

  10. If the sum (3)/(1^(2)) + (5)/(1^(2) + 2^(2)) + (7)/(1^(2) + 2^(2) + 3^...

    Text Solution

    |

  11. In a geometric progression, if the ratio of the sum of first 5 terms t...

    Text Solution

    |

  12. The sum of the first 20 terms common between the series 3+7 + 11 + 15…...

    Text Solution

    |

  13. Let G be the geometric mean of two positive numbers a and b, and M be ...

    Text Solution

    |

  14. The lest positive integer n such that 1- (2)/(3)- (2)/(3^(2))- ….- (2)...

    Text Solution

    |

  15. The number of terms in an A.P is even the sum of the odd terms in it i...

    Text Solution

    |

  16. Let f(n)= [(1)/(3) + (3n)/(100)]n, where [n] denotes the greatest inte...

    Text Solution

    |

  17. If the sum of first n terms of two A.P's are in the ratio 3n+8: 7n+15,...

    Text Solution

    |

  18. A tree, in each year grows 5cm less than it grew in the previous year....

    Text Solution

    |

  19. If log(10)2, log(10) (2^(x)-1) and log(10) (2^(x) + 3) are three conse...

    Text Solution

    |

  20. If (48)/((2)(3)) + (47)/((3)(4)) + (46)/((4)(5))+ …..(2)/((48) (49)) +...

    Text Solution

    |