Home
Class 12
MATHS
Given sum of the first n terms of an A.P...

Given sum of the first `n` terms of an A.P is `2n + 3n^(2)`. Another A.P. is formed with the same first term and double of the common difference, the sum of `n` terms

A

`n+4n^2`

B

`6n^2-n`

C

`n^2+4n`

D

`3n+2n^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

Given sum of the first nterms of an A.P. is 2n+3n^(2) .Another A.P. is formed with the same first term and double of the common difference,the sum of n terms of the new A.P.is:

If sum of first n terms of an A.P is 2n^(2) + 7n, write its nth term.

If the sum of the first n terms of an A.P. is pn+ qn^(2) then its common difference is

If the sum of first n terms of an A.P. is 3n^(2)-2n , then its 19th term is

The sum of the first n terms of an A.P. is 3n^2+6n . Find the n t h term of this A.P.

The sum of the first n terms of an A.P.is 4n^(2)+2n. Find the nth term of this A.P.

The sum of first n terms of an A.P.is 5n-n^(2) . Find the nth term of this A.P.

The sum of first n terms of an A.P is given by 3n^(2)+6n The 22 nd term of the A.p.is

If the sum of the first n terms of an AP is given by S_n=3n^2-n then find its nth terms, first term and common difference

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  2. The sum of first 20 terms of the sequence 0.7, 0.77, 0.777...... is

    Text Solution

    |

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

    Text Solution

    |

  4. the sum3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+....... upto 11 terms

    Text Solution

    |

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

    Text Solution

    |

  6. The value of 1^2+3^2+5^2+...+25^2 is (A) 1728 (B) 1456 (C) 2925 ...

    Text Solution

    |

  7. Let a1,a2,a3………. be term os an A.P. if (a1+a2+….+ap)/(a1+a2+………+aq)=p^...

    Text Solution

    |

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

    Text Solution

    |

  9. If S= tan^-1 (1/(n^2+n+1))+tan^-1 (1/(n^2+3n+3))+…+tan^-1 (1/(1+(n+19)...

    Text Solution

    |

  10. If a1,a2,a3,. . . ,an. . . are in A.P. such that a4−a7+a10=m, then sum...

    Text Solution

    |

  11. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  12. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

    Text Solution

    |

  13. Given an A.P. whose terms are all positive integers. The sum of its fi...

    Text Solution

    |

  14. If the sum 3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+. . . + upto 20 terms is ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The least positive integer n such that 1-2/3-2/3^2-............-2/3^(n...

    Text Solution

    |

  19. Number of terms of an AP is even. The sum of odd terms is 24 an that o...

    Text Solution

    |

  20. where f (n) = [(1)/(3) + (3n)/(100)] n, where [ n] denotes the greate...

    Text Solution

    |