Home
Class 11
MATHS
If the sum of n terms of an A.P. is (pn ...

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

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

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

The sum of n terms of an A.P. is 3n^2 + 4n . Find the A.P.

If the sum of n terms of an A.P. is 3n^2 + 2n : Find the rth term.

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 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 given by delta_n=3n+2n^2 , then the common difference of an A.P. is

If S_n denotes the sum of n terms of an A.P. whose first term is a, and the common difference is d Find: = Sn - 2Sn + S(n +2) .

The sum of first 2n terms of an AP is alpha . and the sum of next n terms is beta, its common difference is

Find the Sum of 5th term of A.P if a=1 , d=2

PSEB-SEQUENCES AND SERIES-EXERCISE
  1. If the sum of a certain number of terms of the A.P. 25, 22, 19, .. . i...

    Text Solution

    |

  2. Find the sum to n terms of the A.P., whose k^(th) term is 5k+ 1.

    Text Solution

    |

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

    Text Solution

    |

  4. The sums of n terms of two arithmetic progressions are in the ratio 5n...

    Text Solution

    |

  5. If the sum of first p terms of an A.P. is equal to the sum of the firs...

    Text Solution

    |

  6. Sum of the first p, q and r terms of an A.P. are a, b and c, respectiv...

    Text Solution

    |

  7. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

    Text Solution

    |

  8. If the sum of n terms of an A.P. is 3n^2 + 5n and its m^(th) term is 1...

    Text Solution

    |

  9. Insert five numbers between 8 and 26 such that the resulting sequence ...

    Text Solution

    |

  10. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

    Text Solution

    |

  11. Between 1 and 31, m numbers have been inserted in such a way that the ...

    Text Solution

    |

  12. A man starts repaying a loan as first instalment of Rs. 100. If he inc...

    Text Solution

    |

  13. The difference between any two consecutive interior angles of a polygo...

    Text Solution

    |

  14. Find the 20th and nth terms of the G.P. 5/2,5/4,5/8,.....

    Text Solution

    |

  15. Find the 12th term of a G.P. whose 8th term is 192 and the common rati...

    Text Solution

    |

  16. The 5th, 8th and 11th terms of a G.P. are p, q and x, respectively. Sh...

    Text Solution

    |

  17. The 4th term of a G.P. is square of its second term, and the first ter...

    Text Solution

    |

  18. Which term of the following sequence:- 2,2sqrt2,4,.....is 128?

    Text Solution

    |

  19. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

    Text Solution

    |

  20. Which term of the following sequence:- 1/3,1/9,1/27,.....is 1/19683 ?

    Text Solution

    |