Home
Class 12
MATHS
The first four terms of an A.P. are a, 9...

The first four terms of an A.P. are `a, 9, 3a - b, 3a + b`. The `2011^(th)` term of the A.P. is

A

2015

B

4025

C

5030

D

6035

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

If the sum of first 75 terms of an A.P. is 2625, then the 38^(th) term of the A.P. is

If 6 times of 6th term of an A.P. is equal to 7 times term, then the 13th term of the A.P. is

The 11^(th) term and the 21^(th) term of an A.P. are 16 and 29 respectively, then find the 41^(th) term of that A.P.

If 6 times of 6^(th) term of an A.P is equal to 7 times the 7^(th) term , then the 13^(th) term of the A.P. is ………… .

In a G.P. the first, third, and fifth terms may be considered as the first, fourth, and sixteenth terms of an A.P. Then the fourth term of the A.P., knowing that its first term is 5, is 10 b. 12 c. 16 d. 20

Find the 9th term of A.P. -11, -15, -19, …

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

If the 3rd and the 9th terms of an AP are 4 and -8 respectively, which term of this AP is zero?

If the first and last terms of an A.P. are given, then the formula to find the sum is …….

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. The value of 1^(2) - 2^(2) + 3^(2) - 4^(2) + ….. + 11^(2) is equal to

    Text Solution

    |

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

    Text Solution

    |

  3. The first four terms of an A.P. are a, 9, 3a - b, 3a + b. The 2011^(th...

    Text Solution

    |

  4. If log(e)5,log(e)(5^(x) - 1) and log(e)(5^(x) - 11/5) are in A.P., th...

    Text Solution

    |

  5. The sum to n terms of the series 4/3 + 10/9 + 28/27 + ……. is

    Text Solution

    |

  6. If sum(k = 1)^(n) k (k + 1)(k - 1) = pn^(4) + qn^(3) + tn^(2) + sn whe...

    Text Solution

    |

  7. In an A.P., the first term is 2 and the sum of first five terms is 5. ...

    Text Solution

    |

  8. If a, b, c, d are in G.P., then (a + b + c + d)^(2) is equal to

    Text Solution

    |

  9. The sum of first n terms of the series 1 + (1 + x) y+ (1 + x + x^(2)) ...

    Text Solution

    |

  10. If 3^(rd), 7^(th) and 12^(th) terms of A.P. are three consecutive term...

    Text Solution

    |

  11. If a(1) = 4 and a(n + 1) = a(n) + 4n for n gt= 1, then the value of a(...

    Text Solution

    |

  12. If the first term of a G.P. is 729 and its 7^(th) term is 64, then the...

    Text Solution

    |

  13. Let a(1), a(2), a(3), a(4) be in A.P. If a(1) + a(4) = 10 and a(2)a(3)...

    Text Solution

    |

  14. The 100^(th) term of the sequence 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ……. is

    Text Solution

    |

  15. Let S(n) denote the sum of first n terms of an A.P. If S(4) = -34,S(3)...

    Text Solution

    |

  16. An A.P. has the property that the sum of first ten terms is half the s...

    Text Solution

    |

  17. The sum of the series sum(n =8)^(17)1/((n + 2)(n + 3)) is equal to

    Text Solution

    |

  18. If two positive numbers are in the ratio 3 + 2sqrt(2) : 3 - 2sqrt(2), ...

    Text Solution

    |

  19. Let x(1), x(2), …… , x(n) be in an A.P. If x(1) + x(4) + x(9) + x(11) ...

    Text Solution

    |

  20. If the second and fifth terms of a G.P. are 24 and 3 respectively, the...

    Text Solution

    |