Home
Class 10
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

  • NUMBERS AND SEQUENCES

    NCERT TAMIL|Exercise Thinking Corner |14 Videos

  • NUMBERS AND SEQUENCES

    NCERT TAMIL|Exercise Exercise 2.1 |13 Videos

  • NUMBERS AND SEQUENCES

    NCERT TAMIL|Exercise Unit Exercise - 2 |10 Videos

  • MENSURATION

    NCERT TAMIL|Exercise Unit Exercise - 7|10 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT TAMIL|Exercise OPTIONAL EXERCISE|1 Videos

Similar Questions

Explore conceptually related problems

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

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 .

Let S_(n) denote the sum of first n terms of an A.P. If S_(4) = -34 , S_(3) = - 60 and S_(6) =- 93 , then the common difference and the first term of the A.P. are respectively.

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

Given the sum of two consecutive terms in an A.P is 21 and their product is 90. 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=0 common difference of A.P. must be 2b common difference of A.P. must be 2c first term of A.P. is b+c

In an A.P., first term is -5 and last term is 45. If sum of all the numbers in the A.P. is 120, then how many terms are there? What is the common difference.

NCERT TAMIL-NUMBERS AND SEQUENCES -Progress Check
  1. If the first and last terms of an A.P. are given, then the formula to ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. A G.P. is obtained by multiplying ……… to the preceding term.

    Text Solution

    |

  5. The ratio between any two consecutive terms of the G.P. is …… and it i...

    Text Solution

    |

  6. Fill in the blanks, if the term are in G.P. (1)/(8), (3)/(4), (9)/(2),...

    Text Solution

    |

  7. Fill in the blanks if the following are in G.P. 7, 7/2,……

    Text Solution

    |

  8. If first term = a, common ratio = r, then find the value of t(9)" and ...

    Text Solution

    |

  9. If G.P if t(1)=(1)/(5) and t(2)=(1)/(25) then the common ratio is .

    Text Solution

    |

  10. Three Non-zero numbers a, b and c will be in G.P. If and only if .

    Text Solution

    |

  11. A series whose terms are in Geometric progression is called …….

    Text Solution

    |

  12. When r = 1, the formula for finding sum to n terms of a G.P. is …….

    Text Solution

    |

  13. When r ne 1, the formula for finding sum to n terms of a G.P. is ……..

    Text Solution

    |

  14. Sum to infinite number of terms of a G.P. is ….

    Text Solution

    |

  15. For what values of r, does the formula for infinite G.P. valid ?

    Text Solution

    |

  16. Is the series 3 + 33 + 333 + ….a Geometric series ?

    Text Solution

    |

  17. The value of r, such that 1 + r + r^(2) + r^(3) … = 3/4 is …

    Text Solution

    |

  18. The sum of cubes of first n natural numbers is ……..of the first n natu...

    Text Solution

    |

  19. The average of first 100 natural number is .

    Text Solution

    |

  20. The sum of first n odd natural numbers is always an odd number.

    Text Solution

    |