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

In the sum of first n terms of an A.P. is `cn^2`, then the sum of squares of these n terms is

A

`(n(4n^2 -1)c^2)/(6)`

B

`(n(4n^2+1)c^2)/(3)`

C

`(n(4n^2-1)c^2)/(3)`

D

`(n(4n^2+1)c^2)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -I Previous Year /JEE Main|19 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

Similar Questions

Explore conceptually related problems

If the sum of first n terms of an AP is cn^(2) , then the sum of squares of these n terms is

If the sum of first n terms of an A.P is cn^(2) and the sum of squares of these n terms is (n(pn^(2)-1)c^(2))/(s) then the value of (s)/(p) is

" If the sum of 'n' terms of an A.P is "cn^(2)",then the sum of cubes of these n terms is "

If the sum of n terms of an A.P is cn (n-1)where c ne 0 then the sum of the squares of these terms is

the sum of the n terms of A.P. is 4n(n-1) then the sum of their squares is:

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

MOTION-SEQUENCE & SERIES -Exercise -4 Level -II Previous Year /JEE Advanced
  1. Let Vr denote the sum of the first r terms of an arithmetic progressio...

    Text Solution

    |

  2. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  3. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  4. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  5. A straight line through the vertex P of a triangle PQR intersects the ...

    Text Solution

    |

  6. Suppose four distinct positive numbers a1,a2,a3,a4 are in G.P. Let b1=...

    Text Solution

    |

  7. In the sum of first n terms of an A.P. is cn^2, then the sum of square...

    Text Solution

    |

  8. Let Sk ,k=1,2, ,100 , denotes thesum of the infinite geometric series ...

    Text Solution

    |

  9. Let a(1),a(2),a(3),"........."a(11) be real numbers satisfying a(1)=15...

    Text Solution

    |

  10. The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^...

    Text Solution

    |

  11. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

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

    Text Solution

    |

  13. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  14. Let an denote the number of all n-digit positive integers formed by th...

    Text Solution

    |

  15. Let S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/2)k^(2). Then S(n) can take value...

    Text Solution

    |

  16. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

    Text Solution

    |

  17. Let a,b,c be positive integers such that (b)/(a) is an integer. If a,b...

    Text Solution

    |

  18. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

    Text Solution

    |

  19. Let bi gt 1 for i = 1, 2, ...., 101. Suppose loge b1, loge b2, ...., l...

    Text Solution

    |

  20. Let X be the set consisting of the first 2018 terms of the arithmet...

    Text Solution

    |