Home
Class 10
MATHS
The third term of an A.P. is 7 and the s...

The third term of an A.P. is 7 and the seventh term exceeds three times the third term by 2. Find the first term, the common difference and the sum of first 20 terms.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA ENGLISH|Exercise All Questions|251 Videos
  • CIRCLES

    RD SHARMA ENGLISH|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

The third term of an arithmetical progression is 7, and the seventh term is 2 more than 3 times the third term. Find the first term, the common difference and the sum of the first 20 terms.

The 4t h term of an A.P. is three times the first and the 7t h term exceeds twice the third term by 1. Find the first term and the common difference.

The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by four. Find the first term and the common difference.

If the third term of an A.P. is 5 and the seventh terms is 9, find the 17th term.

The fourth term of an A.P. is equal to 3 times the first term, and the seventh term exceeds twice the third term by 1. Find the first term and the common difference.

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

The fourth term of an A.P. is 11 and the eighth term exceeds twice the fourth term by 5. Find the A.P. and the sum of first 50 terms.

The first term of an A.P. is 5, the last term is 45 and the sum of its terms is 1000. Find the number of terms and the common difference of the A.P.

In a geometric progression, the third term exceeds the second by 6 and the second exceeds the first by 9. Find (i) the first term, (ii) the common ratio and (iii) the sum of the first ten terms.

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. How many terms of the A.P. 63, 60, 57, .... must be taken so that t...

    Text Solution

    |

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

    Text Solution

    |

  3. The third term of an A.P. is 7 and the seventh term exceeds three time...

    Text Solution

    |

  4. The first term of an A.P.is 2 and the last term is 50. the sum of all ...

    Text Solution

    |

  5. If 12th term of an A.P. is -13 and the sum of the first four terms i...

    Text Solution

    |

  6. Find the sum of first 22 terms of an AP in which d=l and 22nd term is ...

    Text Solution

    |

  7. Find the sum of all natural numbers between 1 and 100, which are divis...

    Text Solution

    |

  8. Find the sum of first n odd natural numbers.

    Text Solution

    |

  9. Find the sum of all odd numbers between (i) 0 and 50 (ii) 100 and 2...

    Text Solution

    |

  10. Show that the sum of all odd integers between and 1000 which are divis...

    Text Solution

    |

  11. Find the sum of all integers between 84 and 719, which are multiples o...

    Text Solution

    |

  12. Find the sum of all integers between 0 and 500 which are divisible by ...

    Text Solution

    |

  13. Find the sum of all even integers between 101 and 999.

    Text Solution

    |

  14. Find the sum of all integers between 100 and 550, which are divisible ...

    Text Solution

    |

  15. In an A.P., if the first term is 22, the common difference is -4 an...

    Text Solution

    |

  16. In an A.P., if the 5t h and 12 t h terms are 30 and 65 respectiv...

    Text Solution

    |

  17. Find the sum of the first 11 terms of the A.P.: 2,\ 6,\ 10 ,\ 14 ,\...

    Text Solution

    |

  18. Find the sum of the first 13 terms of the A.P: -6,\ 0,\ 6,\ 12 , ......

    Text Solution

    |

  19. Find the sum of the first 51 terms of the A.P.: whose second term i...

    Text Solution

    |

  20. Find the sum of the first 15 multiples of 8.

    Text Solution

    |