Home
Class 10
MATHS
The first and the last terms of an AP...

The first and the last terms of an AP are 7 and 49 respectively. If sum of all its terms is 420, find its common difference.

Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA|Exercise All Questions|251 Videos
  • CIRCLES

    RD SHARMA|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

The first and the last terms of an A.P.are 5 and 45 respectively.If the sum of all its terms is 400, find its common difference.

If the first and the last terms of an A.P. are -4 and 146 respectively and the sum of this A.P. is 7171 then its common difference is

The first and last term of an A.P. are a and l respectively. If S be the sum of all the terms of the A.P., them the common difference is

The first and last terms of an AP are a and l respectively.If S be the sum of terms then show that the common difference is (l^(2)-a^(2))/(2S-(a+l))

4.If the first and last terms of an A.P.are 1 and 11 respectively and the sum of its terms is 30. find the number of terms in the A.P.

The first term of an A.Pis 2and the last term is the sum of all these terms is 442. Find the common difference.

In an AP, the first term is -4, the last term is 29 and the sum of all its terms is 150. Find its common difference.

The first and the last terms of an A.P. are 4 and 81 respectively . If the common difference is 7, how many terms are there in the A.P. and what is their sum?

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. The sum of the first n terms of an A.P. is 4n^2+2n . Find the n ...

    Text Solution

    |

  2. If the 10 t h term of an A.P. is 21 and the sum of its first ten te...

    Text Solution

    |

  3. The first and the last terms of an AP are 7 and 49 respectively. If...

    Text Solution

    |

  4. If Sn denotes the sum of first n terms of an A.P., prove that S(...

    Text Solution

    |

  5. If the sum of the first n terms of an A.P. is 1/2(3n^2+7n), then find ...

    Text Solution

    |

  6. The sum of first 9 terms of an A.P. is 162. The ratio of its 6th t...

    Text Solution

    |

  7. Define an arithmetic progression.

    Text Solution

    |

  8. Write the common difference of an A.P. whose n t h term is an=3n+7 ...

    Text Solution

    |

  9. Which term of the sequence 114 ,\ 109 ,\ 104 ,\ is the first ne...

    Text Solution

    |

  10. Write the value of a(30)-a(10) for the A.P. 4,\ 9,\ 14 ,\ 19 ,\ ...

    Text Solution

    |

  11. Write 5t h term from the end of the A.P. 3,\ 5,\ 7,\ 9,\ ddot,\ 201...

    Text Solution

    |

  12. Write the value of x for which 2x ,\ x+10 and 3x+2 are in A.P.

    Text Solution

    |

  13. Write the n t h term of an A.P. the sum of whose n terms is Sn .

    Text Solution

    |

  14. Write the sum of first n odd natural numbers.

    Text Solution

    |

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

    Text Solution

    |

  16. If the sum of n terms of an A.P. is Sn=3n^2+5n . Write its co...

    Text Solution

    |

  17. Write the expression for the common difference of an A.P. whose fir...

    Text Solution

    |

  18. First the term of an A.P is p and its common difference is q. Find its...

    Text Solution

    |

  19. For what value of p are 2p+1,\ 13 ,\ 5p-3 are three consecutive ...

    Text Solution

    |

  20. If 4/5,\ a ,\ 2 are three consecutive terms of an A.P., then find t...

    Text Solution

    |