Home
Class 12
MATHS
If the first term of an A.P. is 2 and th...

If the first term of an A.P. is 2 and the sum of first five terms is equal to one fourth of the sum of the next five terms, then the sum of the first 30 terms is

A

2550

B

3000

C

`-2550`

D

`-30000`

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 the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.

The third term of G.P is 4. The product of first five terms is

IF 8th term of an A.P. is 15, then the sum of 15 terms is

If 10th term of an A.P is 13, then the sum of 19 terms =

In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20^("th") term is –112.

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

In a GP, the sum of the first three terms is 5, and the sum of the next three terms is 625. Find the sum of the first n terms of the GP.

If the sum of first 15 terms of an A.P. is 675 and its first term is 10, then find 25th term.

The first term of an A.P. is -2 and the 10^(th) term is 16. Determine the 15^(th) term.

AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If the first term of an A.P. is 2 and the sum of first five terms is e...

    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

    |