Home
Class 10
MATHS
If the sum of first 7 terms of an AP is ...

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.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise EXERCISE 5.4|5 Videos

  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise PRACTICE THOROUGHLY|20 Videos

  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise EXERCISE 5.2|30 Videos

  • AREAS RELATED TO CIRCLES

    KUMAR PRAKASHAN|Exercise Objective Questions|25 Videos

  • CIRCLE

    KUMAR PRAKASHAN|Exercise Objective Questions (True & False)|4 Videos

Similar Questions

Explore conceptually related problems

The sum of the first 7 terms of an A.P is 10 and that of next 7 terms is 17. Find the progression.

If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of p+q terms will be

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

If the sum of p terms of an AP is q and the sum of q terms is p, then show that the sum of p+q terms is -(p+ q) . Alos, find the sum of first p-q terms (where, p gt q )

The first term of a G.P. is 27 and its eight term is (1)/(81) . Find the sum of its first 10 terms.

If the sum of the first 14 terms of an AP is 1050 and its first term is 10 , find the 20th term .

The sum of the first 7 terms of an AP is 63 and the sum of its next 7 terms is 161. Find the 28th term of this AP.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.

The sum of first n terms of an AP is 5n^2 + 3n If its mth term is 168, find the value of m. Also find the 20th term of the AP.

KUMAR PRAKASHAN-ARITHMETIC PROGRESSION-EXERCISE 5.3
  1. In an AP : Given an=4 , d = 2 , S(n)=-14 , find n and a .

    Text Solution

    |

  2. In an AP : Given a = 3 , n = 8 , S(n) = 192 , find d .

    Text Solution

    |

  3. In an AP : Given l = 28 , S(n) = 144 , and there are total 9 terms...

    Text Solution

    |

  4. How many terms of the AP , 9 , 17 , 25 .......must be taken to give a ...

    Text Solution

    |

  5. The first term of an AP is 5, the last term is 45 and the sum is 400. ...

    Text Solution

    |

  6. The first and the last terms of an AP are 17 and 350 respectively . If...

    Text Solution

    |

  7. Find the sum of first 22 terms of an AP in which d = 7 and 22nd term i...

    Text Solution

    |

  8. Find the sum of first 51 terms of an AP whose second and third terms a...

    Text Solution

    |

  9. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289...

    Text Solution

    |

  10. Show that a(1),a(2),......a(n),.... from an AP where an is defined a...

    Text Solution

    |

  11. If the sum of the first n terms of an AP is 4n - n^2 , what is the fi...

    Text Solution

    |

  12. Find the sum of the first 40 positive integers divisible by 6.

    Text Solution

    |

  13. Find the sum of the first 15 multiple of 8.

    Text Solution

    |

  14. Find the sum of the odd numbers between 0 and 50 .

    Text Solution

    |

  15. A contract on construction job specifies a penalty for delay of comple...

    Text Solution

    |

  16. A sum of Rs 700 is to be used to give seven cash prizes to students of...

    Text Solution

    |

  17. In a, school , students thought of planting trees in and around the sc...

    Text Solution

    |

  18. A spiral is made up of successive semicircles , with centres alternate...

    Text Solution

    |

  19. 200 logs are stacked in the following manner : 20 logs in the bottom r...

    Text Solution

    |

  20. In a potato race, a bucket is placed at the starting point, which is ...

    Text Solution

    |