Home
Class 10
MATHS
The 4th term of an A.P. is equal to 3 ti...

The 4th term of an A.P. is equal to 3 times the first term and `7^(th)` term exceeds twice the 3rd term by 1. Find the first term and common difference.

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    MBD|Exercise EXERCISE|130 Videos
  • Areas of Plane Figures.

    MBD|Exercise Exercise|51 Videos
  • Board Question Papers

    MBD|Exercise Exercise|37 Videos

Similar Questions

Explore conceptually related problems

Find the 12th term of AP if first term is 5 and common difference is 7.

Find the nth term of AP whose first term is 12 and common difference is 7.

The third term of an A.P. is 25 and tenth term is - 3. Find the first term and common difference.

The third term of an A.P. is 25 and the tenth term is -3. Find the first term and the common difference.

The third term of an A.P. is 25 and the tenth term is - 3. Find the first term and the common difference.

If 5 times the 5^(th) term of an A.P. is equal to 7 times the 7^(th) term, find its 12^(th) term.

The 17th term of an AP exceeds its I0th term by 7. Find the common difference,

Write first four terms of A.P. when first term a = 3 and common difference d= 2.

Write first four terms of A.P. when first term a = -2and common difference d= 0.

MBD-ARITHMETIC PROGRESSION-EXERCISE
  1. The third term of an A.P. is 25 and the tenth term is -3. Find the fir...

    Text Solution

    |

  2. Determine the 2nd term of an A.P. whose 6^(th) term is 12 and 8^(th) ...

    Text Solution

    |

  3. The 4th term of an A.P. is equal to 3 times the first term and 7^(th) ...

    Text Solution

    |

  4. How many number of two digits are divisible by 7 ?

    Text Solution

    |

  5. How many numbers between 10 and 200 are exactly divisible by 7 ?

    Text Solution

    |

  6. Prove that a - 5b, a - b and a + 3b are consecutive term of an A.P.

    Text Solution

    |

  7. Which term of the A.P. 3, 5, 7, .... is 43?

    Text Solution

    |

  8. Which term of the A.P 2, 8, 14, .... will be 126 more than its 15th te...

    Text Solution

    |

  9. Find the common difference of the A.P. for which 18^(th) term is 3 mor...

    Text Solution

    |

  10. If six times the sixth term of an A.P. is equal to nine times the nint...

    Text Solution

    |

  11. Which term of the sequence 17, 16 1/5 15 2/5 ,…... is the first negati...

    Text Solution

    |

  12. In an A.P. the 24^(th) term is twice the 10^(th) term. Prove that 72n...

    Text Solution

    |

  13. The ratio of 12^(th) to the 15^(th) term of an A.P. in 19 : 24. Find t...

    Text Solution

    |

  14. The third term of an A.P. is 10 and seventh term is 22. Find the A.P.

    Text Solution

    |

  15. How many terms are there in the A.P. -1,(-5)/6,(-2)/3,(-1)/2…..,10/3?

    Text Solution

    |

  16. If 9th term of an A.P. is zero, prove that its 29th term is double the...

    Text Solution

    |

  17. If (m + l)th term of an A.P. is twice the (n + l)th term, prove that (...

    Text Solution

    |

  18. The first term of an A.P. is 5, the common difference is 3 and the las...

    Text Solution

    |

  19. If the nth term of the A.P. 9, 7, 5, .... is same as the nth term of A...

    Text Solution

    |

  20. Find the second term and nth term of an A.P. whose 6th term is 12 and ...

    Text Solution

    |