Home
Class 11
MATHS
If the sum of n terms of an A.P. is nP+1...

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.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos
  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

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

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

If the sum of n terms of an A.P. is 3n^2 + 5n and its m^("th") term is 164, find the value of m .

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

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

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

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

If the sum of n terms of an A.P. is given by S_n=a+b n+c n^2, w h e r ea ,b ,c are independent of n ,t h e n (a) a=0 (b) common difference of A.P. must be 2b (c) common difference of A.P. must be 2c (d) first term of A.P. is b+c

If S_(1), S_(2), S_(3) be the sums of n terms of three aA.P.'s, the first term of each A.P. being 1 and the respective common differences are 1, 2, 3 then show that, S_(1) + S_(3) = 2S_(2) .

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. Find the sum to n terms of the series whose n^th term is n(n+3).

    Text Solution

    |

  2. Find the first negative term of the series 2000, 1995, 1990,1985...

    Text Solution

    |

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

    Text Solution

    |

  4. The sum of n terms of two arithmetic progressions are in the ratio (3...

    Text Solution

    |

  5. The sum of four integar in A.P is 24 and their product is 945. Find th...

    Text Solution

    |

  6. Find the sum of the series 1.n+2(n-1)+3(n-2)+.....n.1.

    Text Solution

    |

  7. Find the sum of n terms of the series ab+(a-1)(b-1)+(a-2)(b-2)+.... if...

    Text Solution

    |

  8. Insert 6 no. between 3 and 24 such that the resulting sequence is an ...

    Text Solution

    |

  9. Between two no. whose sum is 13/6, an even no. of A.M's are inserted ....

    Text Solution

    |

  10. Which term of the G.P. 2,8,32,.... upto n terms is 131072 ?

    Text Solution

    |

  11. Find the least value of n for which 1+3+3^2+....+3^(n-1) gt 1000.

    Text Solution

    |

  12. If p^th ,q^th and r^th terms of a G.P. be a, b, c(a,b,c>0) , prove tha...

    Text Solution

    |

  13. Find the sum of first n terms and the sum of first 5 terms of the geom...

    Text Solution

    |

  14. How many terms of the G.P 3,3/2,3/4 ...... are needed to give the sum ...

    Text Solution

    |

  15. If a1,a2,a3(a1 gt0) are in G.P with common ratio r, then the value of...

    Text Solution

    |

  16. The sum of first three terms of a G.P is 13/12 and their products is -...

    Text Solution

    |

  17. Find the sum of the sequence 7,77,777,7777,......to n terms.

    Text Solution

    |

  18. Find the natural no. a for which sum (k=1)^nf(a+k)=16(2^n-1) where the...

    Text Solution

    |

  19. If x=1+a+a^2+a^3+......infty and y=1+b+b^2+b^3+......infty show that 1...

    Text Solution

    |

  20. If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1/1^2+1/3^2+1...

    Text Solution

    |