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

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.

Text Solution

Verified by Experts

Given,
First term, `a = 5`
Last term, `l = 45`
Sum of n terms, `S_n = 400`
...
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 AP are 7 and 49 respectively.If sum of all its terms is 420, find its common difference.

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

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

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.

If the 5th and 12th terms of an A.P. are 14 and 35 respectively, find the first term and the common difference.

The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum ?

The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, then how terms are there in the A.P. ?

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. Find the sum of first 30 terms of an A.P. whose second term is 2 and ...

    Text Solution

    |

  2. Ramkali would need Rs. 1800 for admission fee and books etc., for her ...

    Text Solution

    |

  3. The first and the last terms of an A.P. are 5 and 45 respectively. If ...

    Text Solution

    |

  4. Two cars start together in the same direction from the same place. The...

    Text Solution

    |

  5. The sum of the third and the seventh terms of an AP is 6 and their ...

    Text Solution

    |

  6. If (m+1)^(t h) term of an A.P. is twice the (n+1)^(t h) term, prove th...

    Text Solution

    |

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

    Text Solution

    |

  8. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

    Text Solution

    |

  9. The ratio of the sum of n terms of two A.Ps is (7n+1):(4n+27)dot Find ...

    Text Solution

    |

  10. If there are (2n+1) terms in A.P., then prove that the ratio of the s...

    Text Solution

    |

  11. Raghav buys a shop of Rs. 1,20,000. He pays half of the amount in cash...

    Text Solution

    |

  12. Which term of the A.P. 3,15,27, 39, ... will be 120 more than its 21st...

    Text Solution

    |

  13. The 17th term of an A.P. is 5 more than twice its 8th term. If the ...

    Text Solution

    |

  14. The sum of three numbers in A.P. is -3, and their product is 8. Find t...

    Text Solution

    |

  15. Find the four numbers in A.P. whose sum is 20 and the sum of whose ...

    Text Solution

    |

  16. The sum of three terms of an A.P. is 21 and the product of the first ...

    Text Solution

    |

  17. The angles of a quadrilateral are in A.P. whose common difference is 1...

    Text Solution

    |

  18. Consider the A.P. 2,5,8, 11 ,........ ,302. Show that twice of the mi...

    Text Solution

    |

  19. For what value of n the n^(t h) terms of the following two A.Ps the s...

    Text Solution

    |

  20. How many terms are there in the sequence 3,6,9, 12 , 111 ?

    Text Solution

    |