Home
Class 12
MATHS
The sum of the first three terms of an A...

The sum of the first three terms of an `A.P.` is 9 and the sum of their squares is `35.` The sum to first n terms of the series can be

A

`3n^(2)`

B

`2n^(2)`

C

`6n-2n^(2)`

D

`n^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos

  • PROGRESSIONS

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

If the sum of the first n terms of the series

The sum of the first three terms of an arithmetic progression is 9 and the sum of their squares is 35. The sum of the first n terms of the series can be

The sum of the first three terms of an increasing G.P.is 21 and the sum of their squares is 189. Then the sum of the first n terms is

. The sum of the first three terms of an increesing G.P. is 21 and the sum of their squares is 189. Then the sum of its first n terms is

The sum of the first three terms of an increasing G.P. is 21 and the sum of their squares is 189. Then the sum of its first n terms is

The sum of three consecutive terms of an A.P. is 9 and the sum of their squares is 35. Find the terms.

. The sum of the first three terms of an increasing G.P. is 21 and the sum of the their squaresis 189. Then sum of its first n terms is

The sum of first three terms of a G.P. is 15 and sum of next three terms is 120. Find the sum of first n terms.

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Let a ,b be positive real numbers. If a A1, A2, b be are in arithmetic...

    Text Solution

    |

  2. Sum of the series S(n) =(n) (n) + (n-1) (n+1) + (n-2) (n+2) + …+ 1(2n-...

    Text Solution

    |

  3. Suppose for each n in N, 1^(4)+2^(4)+3^(4)+….+n^(4)=an^(5)+bn^(4)+cn^(...

    Text Solution

    |

  4. Value of S=2012+(1)/(3)(2011+(1)/(3)(2010+(1)/(3)(2009+(1)/(3)(2+(1)/(...

    Text Solution

    |

  5. Suppose a,b,c are positive real numbers satisfying the system of equat...

    Text Solution

    |

  6. Suppose a,b,c are distinct positive real numbers such that a,2b,3c are...

    Text Solution

    |

  7. Let Sn denote the sum of the cubes of the first n natural numbers and ...

    Text Solution

    |

  8. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  9. Simplify P=1/(2sqrt(1)+sqrt(2))+1/(3sqrt(2)+2sqrt(3))+....+1/(100sqrt...

    Text Solution

    |

  10. sqrt(2sqrt(2sqrt(2sqrt(2....))))=

    Text Solution

    |

  11. Let [x] denote the greatest integer less than or equal to x, what is t...

    Text Solution

    |

  12. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

    Text Solution

    |

  13. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  14. Let an be the n^(t h) term of an A.P. If sum(r=1)^(100)a(2r)=alpha&su...

    Text Solution

    |

  15. If m times the mth term of an A.P. with non-zero common difference equ...

    Text Solution

    |

  16. If a(1),a(2),a(3),"......" be in harmonic progression with a(1)=5 and ...

    Text Solution

    |

  17. A species has an initial population 4^(10). At the end of first day, t...

    Text Solution

    |

  18. The sum of the first three terms of an A.P. is 9 and the sum of their ...

    Text Solution

    |

  19. The series of natural numbers is divided into groups:(1);(2,3,4);(5,6,...

    Text Solution

    |

  20. In a arithmetic progression of 16 distinct terms with a(1)=16, the sum...

    Text Solution

    |