Home
Class 11
MATHS
If Sn denotes the sum of n terms of an A...

If `S_n` denotes the sum of n terms of an A.P. whose common difference is d and first term is a, find `S_n-2S_(n-1)+S_(n-2)`

Text Solution

Verified by Experts

N/a
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9D|11 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9E|12 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9B|17 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|12 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise MISC Exercise|16 Videos

Similar Questions

Explore conceptually related problems

Let S_(n) denote the sum of n terms of an AP whose first term is a.If common difference d is given by d=Sn-kS_(n-1)+S_(n-2), then k is :

Let S_(n) denotes the sum to terms of an A.P. whose first term is a . If the commom difference d is given by d = S_(n) - kS_(n-1) + S_(n-2) , then k is equal to

If S_n denote the sum of n terms of an A.P. with first term a and common difference d such that (S_x)/(S_(k x)) is independent of x , then d=a (b) d=2a (c) a=2d (d) d=-a

if S_(n) denotes the sum of n terms of a G.P whose first term is a and common ratio is r then find the sum of S_(1),S_(3),S_(5).........,S_(2)n-1

Let S_(n) be the sum of first n terms of an A.P. with non-zero common difference.Fine the ratio of first term and common difference if (S_(n_(1)n_(2)))/(S_(n_(1))) is independent of n_(1)

If S_(n) denote the sum of first n terms of an A.P. whose first term is a and S_(nx)/S_(x) is independent of x, then S_(p)=p^(3) b.p^(2)a .pa^(2) d.a^(3)

If the sum of n terms of an A.P.is S_(n)=3n^(2)+5n. Write its common difference.

If S_(n), denotes the sum of n terms of an AP, then the value of (S_(2n)-S_(n)) is equal to

NAGEEN PRAKASHAN-SEQUENCE AND SERIES-Exercise 9C
  1. The sum of 5 and 15 terms of an A.P. are equal. Find the sum of 20 ter...

    Text Solution

    |

  2. The sum of 20 and 28 terms of an A.P. are equal. Find the sum of 48 te...

    Text Solution

    |

  3. The pth and qth terms of an A.P. are(1)/(4)and(1)/(p) respectively. Pr...

    Text Solution

    |

  4. The sum of 15 terms of A.P. is zero. Its 4th term is 12. Find its 14th...

    Text Solution

    |

  5. The common difference, last term and sum of terms of an A.P. are 4, 31...

    Text Solution

    |

  6. The sum of m and n terms of an A.P. are n and m respectively. Prove t...

    Text Solution

    |

  7. In an A.P., if T(1) +T(5)+ T(10) +T(15)+ T(20) + T(24) = 225, find the...

    Text Solution

    |

  8. The nth term of an A.P. is (5n-1). Find the sum of its 'n' terms.

    Text Solution

    |

  9. The sum of 8 terms of an A.P. is -64 and sum of 17 terms is 289. Find ...

    Text Solution

    |

  10. The ratio of sums ofn terms of two A.P'.s is (2n + 1) : (2n - 1). Prov...

    Text Solution

    |

  11. The ratio of sums of n terms of two A.P'. is (7n + 1) : (4n + 27). Fin...

    Text Solution

    |

  12. The ratio of the sums of m terms and n terms of an A.P. is m^(2) : n^(...

    Text Solution

    |

  13. How many terms of the progression 54 + 51 + 48 +... has the sum 513 ? ...

    Text Solution

    |

  14. The pth and qth terms of an A.P. are x and y respectively. Prove that ...

    Text Solution

    |

  15. Show that the sum of an A.P. whose first term is a, the second term is...

    Text Solution

    |

  16. If the first term of an A.P. is 100 and sum of its first 6 terms is 5 ...

    Text Solution

    |

  17. The first term, last term and common difference of an A.P are respecti...

    Text Solution

    |

  18. Write the sum of first n even natural numbers.

    Text Solution

    |

  19. If Sn denotes the sum of n terms of an A.P. whose common difference is...

    Text Solution

    |

  20. The sums of n terms of three arithmetical progressions are S1, S2a n d...

    Text Solution

    |