Home
Class 12
MATHS
If in an A.P. S(n) = qn^(2) and S(m) = q...

If in an A.P. `S_(n) = qn^(2)` and `S_(m) = qm^(2)`, where `S_(r )` denotes the sum of r terms of the A.P. , then `S_(q)` equals `:`

A

`(q^(3))/(2)`

B

`m n q`

C

`q^(3)`

D

`(m+n) q^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos
  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

If S_(n) = nP + (n (n - 1))/(2) Q where S_n denotes the sum of the first n terms of an A.P. , then the common difference is

If for a sequence {a_(n)},S_(n)=2n^(2)+9n , where S_(n) is the sum of n terms, the value of a_(20) is

Let S_(n) denote the sum of the first n terms of an A.P. If S_(2n) = 3S_(n) , then S_(3n) : S_(n) is equal to :

If S_(n) denotes the sum of n terms of a G.P., whose common ratio is r, then (r-1) (dS_(n))/(dr) =

Let S_(n) denote the sum of first n terms of an A.P. If S_(2n) = 3S_(n) , then the ratio ( S_(3n))/( S_(n)) is equal to :

If S_(1), S_(2) and S_(3) denote the sum of first n_(1) , n_(2) and n_(3) terms respectively of an A.P.L , then : (S_(1))/(n_(1)) . ( n _(2) - n_(3)) + ( S_(2))/( n_(2)). ( n _(3) - n_(1)) + ( S_(3))/( n_(3)) . ( n_(1) - n_(2)) is equal to :

If the sum of n terms of an A.P. is given by : S_(n) = 3n+ 2n^(2) , then the common difference of the A.P. IS :

IF a A.P. if T_n=4n+3 . Find S_13 .

IF the sum of three consecutive terms of an A.P. is 21, then first the first term.

Let a_(n) be the nth term of an A.P. If sum_(r=1)^(100) a_(2r) = alpha and sum_(r = 1)^(100) a_(2r-1) = beta , then the common difference of the A.P. is :

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. The minimum value of 4^(x) + 4^(1-x), x in R is :

    Text Solution

    |

  2. Let S(n) denote the sum of the first n terms of an A.P. If S(2n) = 3S(...

    Text Solution

    |

  3. If in an A.P. S(n) = qn^(2) and S(m) = qm^(2), where S(r ) denotes the...

    Text Solution

    |

  4. If x,2y, 3z are in A.P. where the distinct numbers x,y,z are in G.P., ...

    Text Solution

    |

  5. If 9 times the 9th term of an A.P. is equal to 13 times the 13^(th) te...

    Text Solution

    |

  6. The third of G.P. is 4. The product of its first 5 terms is :

    Text Solution

    |

  7. If the sum of n terms of an A.P. is given by : S(n) = 3n+ 2n^(2), th...

    Text Solution

    |

  8. If t(n) denotes the nth term of the series : 2+3+6+11+18+"………." , th...

    Text Solution

    |

  9. The A.M and G.M of two numbers are in the ratio 3: 2, then the ratio o...

    Text Solution

    |

  10. If 12 and 9 are respectively A.M and G.M of two numbers, then the numb...

    Text Solution

    |

  11. If one geometric mean G and two arithmetic means A(1) and A(2) are ins...

    Text Solution

    |

  12. If (1)/(2) is the sum to infinity of a G.P, with common ratio (1)/(3),...

    Text Solution

    |

  13. If S is the sum to infinity of a G.P, whose first element is a, then t...

    Text Solution

    |

  14. If 2 is the sum to infinity of a G.P, whose first element is 1, then t...

    Text Solution

    |

  15. The fourth seventh and tenth terms of a G.P. are p,q,r respectively, t...

    Text Solution

    |

  16. The second, third and sixth terms of an A.P are consecutive elements o...

    Text Solution

    |

  17. If x, 2 x+2,3 x+3 are in G.P, then 5^(th) element is

    Text Solution

    |

  18. Three positive numbers froman increasing G.P. If middle term in this G...

    Text Solution

    |

  19. Let ( a(n) ) be a G.P. such that ( a(4))/( a(6)) =( 1)/( 4) and a(2) +...

    Text Solution

    |

  20. The fourth element of a G.P is 8. The product of first seven elements ...

    Text Solution

    |