Home
Class 12
MATHS
If the sum of n terms of an A.P is cn (n...

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

A

`a^(2)n^(2) (n + 1)^(2)`

B

`(2)/(3) a^(2) n (n + 1) (2n + 1)`

C

`(2)/(3) a^(2) n (n - 1) (2n - 1)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 4 (TRUE AND FALSE) |1 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 4 (FILL IN THE BLANKS) |7 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 3 (FILL IN THE BLANKS) |1 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

The sum of n terms of an A.P.is an (n-1). Find the sum of the squares of these terms.

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

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

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

If the sum of n terms of an A.P is 2n+3n^(2) , find the r^(th) term

The sum of three consecutive terms of an A.P. is 21 and the sum of the squares of these terms is 165.Then product of the three terms is

ML KHANNA-PROGRESSIONS -PROBLEM SET - 4 (MULTIPLE CHOICE QUESTIONS)
  1. If (1^2-t1)+(2^2-t2)++(n^2-tn)+=(n(n^2-1))/3 , then tn is equal to n^2...

    Text Solution

    |

  2. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

    Text Solution

    |

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

    Text Solution

    |

  4. The sum of all the products of the first n(+) ive integers taken two a...

    Text Solution

    |

  5. The value of the expression (1+1/omega)(1+1/omega^(2))+(2+1/omega)(2+...

    Text Solution

    |

  6. The value of the expression 2 (1 + omega) (1 + omega^(2)) + 3(2 omega ...

    Text Solution

    |

  7. The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omeg...

    Text Solution

    |

  8. For and odd integer n ge 1, n^(3) - (n - 1)^(3) + …… + (- 1)^(n-1) ...

    Text Solution

    |

  9. The sum of the series (1)/(3.5) + (1)/(5.7) + (1)/(7.9)+…. ad infinity...

    Text Solution

    |

  10. If Sigma(r=1)^(n)t(r)=(1)/(6)n(n+1)(n+2), AA n ge 1, then the value o...

    Text Solution

    |

  11. The sum of the infinite series 1 + (1+a) x + (1 + a + a^(2)) x^(2) + (...

    Text Solution

    |

  12. Sum of the series 1 + 2 + 4 + 7 +…+ 67 is equal to

    Text Solution

    |

  13. 99^(th) term of the series 2 + 7 + 14 + 23 + 34 +…is

    Text Solution

    |

  14. Find the 50th term of the series 2+3+6+11+18+….

    Text Solution

    |

  15. Let P = 3^(1//3). 3^(2//9) . 3^(3//27)…oo, then P^(1//3) is equal to

    Text Solution

    |

  16. 2^(1//4).4^(1//8).8^(1//16).16^(1//32)…. is equal to

    Text Solution

    |

  17. If 3 + (1)/(4) (3 + d) + (1)/(4^(2)) (3 + 2d)+…oo = 8, then the value ...

    Text Solution

    |

  18. The sum to infinity of the series 1+2(1-(1)/(n))+3(1-(1)/(n))^(2)+ ....

    Text Solution

    |

  19. The sum to infinite terms of the arithmetic - gemoetric progression 3,...

    Text Solution

    |

  20. The sum o f series 1+4/5+7/(5^2)+(10)/(5^3)+oo is 7//16 b. 5//16 c. ...

    Text Solution

    |