Home
Class 10
MATHS
If the 5th term of an A.P. is 31 and 25t...

If the 5th term of an A.P. is 31 and 25th term is 140 more than the 5th term, find the A.P.

Text Solution

Verified by Experts

5th term `= 31`
`a+(5-1)d=31`
`=> a+4d=31. .........(1)`
25th term `= 140 + 5th term`
...
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

If the 8th term of an A.P.is 31 and the 15 th term is 16 more than the 11 th term,find the A.P.

If the 10 th term of an A.Pis 52 and 17 th term is 20 more than the 13 th term,find the A.P.

If the 8 th term of an AP is 31 and the 15 th term of an AP is 16 more than the 11 th term find the AP.

If the 10^(th) term of an AP is 52 and 17^(th) term is 20 more than its 13^(th) term.Find the AP.

The sum of 5th and 9th terms of an A.P. is 30. If its 25th term is three times its 8th term, find the A.P.

The 11th term of an A.P. is 16 and the 21st term is 29 . Find the 16th term of this A.P.

If 7th term of an A.P. is 9 and 9th term of the A.P. is 7, then 20th term of the A.P. is

The 7th term of an A.P.is 32 and its 13th term is 62. Find the A.P.

The first term of an A.P.is 5 and its 100th term is -292. Find the 50th term of this A.P.

The 6^(th) term of an A.P. is -10 and the 10^(th) term is -26 .Determine the 15^(th) term of the A.P.

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Find the 10th term from the end of the A.P. 8,10,12, ... 126.

    Text Solution

    |

  2. The 19th term of an A.P. is equal to three times its 9th term.If its...

    Text Solution

    |

  3. If the 5th term of an A.P. is 31 and 25th term is 140 more than the...

    Text Solution

    |

  4. The first and last term of an A.P. are a and l respectively. If S is...

    Text Solution

    |

  5. Find the number of all three digit natural numbers which are divisible...

    Text Solution

    |

  6. If the seventh term of an AP is 1/9 and its ninth term is 1/7, find it...

    Text Solution

    |

  7. The 24th term of an A.P. is twice its 10th term. Show that its 72th...

    Text Solution

    |

  8. If 2x ,x+10 ,3x+2 are in A.P., find the value of xdot

    Text Solution

    |

  9. If the numbers a , b , c , d , e form an A.P. , then find the value of...

    Text Solution

    |

  10. The 9th term of an A.P. is equal to 6 times its second term. If its...

    Text Solution

    |

  11. The sum of 5th and 9th term of an A.P. is 72 and the sum of 7th and...

    Text Solution

    |

  12. The sum of 4th and 8th terms of an A.P. is 24 and the sum of 6th an...

    Text Solution

    |

  13. Write an AdotPdot having 4 as the first terms and -3 as the comon diff...

    Text Solution

    |

  14. Write the first three terms in each of the sequence defined by the ...

    Text Solution

    |

  15. What is 18th term of the sequence defined by an=(n(n-3))/(n+4)

    Text Solution

    |

  16. Show that the sequence defined by an=4n+5 is an AdotPdot Also, find...

    Text Solution

    |

  17. Show that the sequence defined by an=2n^2+1 is not an AdotPdot

    Text Solution

    |

  18. Show that a sequence is an AdotPdot if its n t h term is a linea...

    Text Solution

    |

  19. The n t h term of a sequence is 3n-2 . Is the sequence an AdotPd...

    Text Solution

    |

  20. Write an AdotPdot whose first term is 10 and common difference is 3...

    Text Solution

    |