Home
Class 11
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 find the sum of the squares of these terms.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If the sum of 1st n term of an AP is n(3n + 5), find its 10th term

If the sum of n terms of a G.P. is 3-(3^(n+1))/(4^(2n)) , then find the common ratio.

The sum of n terms of an A.P is n^2 .Find the common difference.

If the sum of n terms of an A.P. is nP+1/2n(n-1)Q , where P and Q are constants, find the common difference.

If the sum of n terms of an A.P. is nP+1/2n(n-1) Q, where P and Q are constants , find the common difference.

The sum of n terms of an A.P. is 3n^(2) + 5n . Find the number of the term which is equal to 152.

If the sum of m terms of an A.P. is the same as the sum of its n terms, then the sum of its (m+n) terms is (a). m n (b). -m n (c). 1//m n (d). 0

The sum to n terms of an A.P. is n^(2) . Find the common difference.

If the sum of n terms of an A.P. is (pn + qn^2) , where p and q are constants, find the common difference.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Let a1 , a2 , a3,.... be terms of an A.P. if (a1 + a2 +....+ ap)/(a1 +...

    Text Solution

    |

  2. Consider an A.P. a1, a2, a3,......... such that a3+a5+a8=11 and a4+a2...

    Text Solution

    |

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

    Text Solution

    |

  4. If |a|<1a n d|b|<1, then the sum of the series 1+(1+a)b+(1+a+a^2)b^2+(...

    Text Solution

    |

  5. Find the sum of odd intergers from 1 to 201.

    Text Solution

    |

  6. If a1, a2, a3(a1>0) are three successive terms of a G.P. with common r...

    Text Solution

    |

  7. Three numbers form an increasing G.P. If the middle number is doubled,...

    Text Solution

    |

  8. If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...

    Text Solution

    |

  9. If S1,S2 and S3 be respectively the sum of n, 2n and 3n terms of a G.P...

    Text Solution

    |

  10. There are 4n + 1 terms in a sequence of which first 2n + 1 are in Arit...

    Text Solution

    |

  11. If (p+q)t h term of a G.P. is a and its (p-q)t h term is b where a ,b ...

    Text Solution

    |

  12. Find the sum of n terms of the series whose nth term is T(n)=tanx/(2^n...

    Text Solution

    |

  13. Evaluate, sum(i = 0)^iinfty sum(j = 0)^infty sum(k = 0)^infty 1/(3^i c...

    Text Solution

    |

  14. The first trem of a GP is -3 and the square of the second term is equa...

    Text Solution

    |

  15. If log(2)(5.2^(x)+1),log(4)(2^(1-x)+1) and 1 are in A.P,then x equals

    Text Solution

    |

  16. Find the geometric series whose 5th and 8th terms are 80 and 640 respe...

    Text Solution

    |

  17. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

    Text Solution

    |

  18. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

    Text Solution

    |

  19. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

    Text Solution

    |

  20. The 5th, 8th and 11th terms of a GP are a,b,c respectively. Show that...

    Text Solution

    |