Home
Class 10
MATHS
If the sum of first 7 terms of an A.P. i...

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

Text Solution

Verified by Experts

The correct Answer is:
`n^(2)`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Exercise 5d|10 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer Questions|10 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Exercise 5b|23 Videos

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Question|6 Videos

  • CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|3 Videos

Similar Questions

Explore conceptually related problems

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

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

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.

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

The sum of first 8 terms of an A.P. is 64 and that of first 15 terms is 225. Find the sum of its first 17 terms.

If the sum of the first 9 terms of an A.P. is 81 and that of the first 18 terms is 324, find the sum of its first n terms.

If the sum of first 6 terms of A.P.is 96 and sum of first 10 terms is 240 ,then find the sum of n terms of A.P.

If the sum of first 10 terms of an A.P is 60 and sum of first 15 terms is -165 then find the sum of its n terms

The sum of 8 terms of an A.P. is -64 and sum of 17 terms is 289. Find the sum of its 'n' terms.

If the sum of first n terms of an A.P. is 3n^(2)-2n , then its 19th term is

NAGEEN PRAKASHAN-ARITHMETIC PROGRESSION-Exercise 5c
  1. How many terms of the A.P. 54, 51, 48, ... has the sum 513 ? Explain t...

    Text Solution

    |

  2. Find the value of 'x' if (i) 1+6+11+...+x=189 (ii) 1+1+4+7+10+...+...

    Text Solution

    |

  3. (i) Find the sum of first 200 even natural numbers. (ii) Find the su...

    Text Solution

    |

  4. Find the sum of n terms of an A.P. whose nth term is (2n+1).

    Text Solution

    |

  5. The sum of n terms of a series is n(n+1) . Prove that it is an A.P. al...

    Text Solution

    |

  6. The sum of n terms of a series is (3n^(2)+2n). Prove that it is an A.P...

    Text Solution

    |

  7. The sum of first 5 terms and first 15 terms of an A.P. are equal. Fin...

    Text Solution

    |

  8. The sum of first 8 terms and first 24 terms of an A.P. are equal. Find...

    Text Solution

    |

  9. The sum of15 terms of an A.P. is zero and its 4th term is 12. Find its...

    Text Solution

    |

  10. The sum of first 8 terms of an A.P. is 64 and that of first 15 terms i...

    Text Solution

    |

  11. Find the sum of first 24 terms of the A.P. a1, a2, a3, , if it is kno...

    Text Solution

    |

  12. The first term, last term and common difference of an A.P. are respect...

    Text Solution

    |

  13. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

    Text Solution

    |

  14. Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second mont...

    Text Solution

    |

  15. The sum of the first five terms of an A.P. and the sum of the first s...

    Text Solution

    |

  16. 200 logs are stacked in such a way that there are 20 logs in the botto...

    Text Solution

    |

  17. The ratio of the sum of n terms of two A.P. s is (7n+1):(4n+27) . Fin...

    Text Solution

    |

  18. If the sum of first 7 terms of an A.P. is 49 and that of its 17 terms ...

    Text Solution

    |

  19. The famous mathematician associated with finding the sum of the first ...

    Text Solution

    |

  20. If S1 is the sum of an AP of 'n' odd number of terms and S2 be the sum...

    Text Solution

    |