Home
Class 12
MATHS
If s(1), s(2), s(3)…..s(p) are the sums ...

If `s_(1), s_(2), s_(3)…..s_(p)` are the sums of n terms of 'p' A.P's whose first terms are 1,2,3…p and common differences are 1,3,5… `(2p-1)` respectively then `s_(1) + s_(2) + s_(3) + …+ s_(p)`=

A

`(1)/(2) nq (nq+1)`

B

`(1)/(2) nq (nq-1)`

C

nq

D

`(nq)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 S_(n) represents the sum of n terms of G.P whose first term and common ratio are a and r respectively, then s_(1) + s_(2) + s_(3) + …+ s_(n) =

If S_(1), S_(2), S_(3) be the sum of 10, 20, 30 terms respectively of an A.P. Then

If S_(n) be the sum of n terms of an A.P and (s_(pn))/(s_(n)) is independent of n and first term is a then the common difference is

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

IF S_1+S_3=K,S_2 , where S_1,S_2 and S_3 are the sum of 'n' terms of the series in A.P .The first term of each being one and the respective common difference being 1,2,3 then find k=………..

If the ratio of sum of n terms in two A.P' s is 2n : n + 1, then the ratio of 8th terms is

If S_(1), S_(2),S_(3), are the sums of first n natural numbers their squares and their cubes respectively, then S_(3) (1 + 8 S_(1)) =

For the following are A.P.s ? If they form an A.P., find the common difference d and write the next three terms . -5,-1,3,7"….."

Which of the following are A.P.s ? If they form an A.P., find the common difference d and write the next three terms . 1,3,9,27,"….."

AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If s(1), s(2), s(3)…..s(p) are the sums of n terms of 'p' A.P's whose ...

    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

    |