Home
Class 11
MATHS
The sum of three terms of an A.P. is 21 ...

The sum of three terms of an A.P. is 21 and the product of the first and the third terms exceeds the second term by 6, find three terms.

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow the information given in the question and the video transcript. ### Step 1: Define the terms of the A.P. Let the three terms of the A.P. be: - First term: \( A - D \) - Second term: \( A \) - Third term: \( A + D \) ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

Similar Questions

Explore conceptually related problems

The sum of three terms in A.P. is 33 and their products is 1155. Find the terms.

If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is (a) 13 (b) 9 (c) 21 (d) 17

The sum of three consecutive terms of an AP is 15 and their product is 105, find numbers.

The sum of the first three terms of an Arithmeic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.

The sum of three consecutive terms of an A.P. is 21 and the sum of their squares is 165. Find these terms.

The sum of the 4th term and the 8th term of an A.P is 24 and the sum of the 6th term and the 10th term is 44. Find the first three terms of the A.P.

The sum of the 4th and the 8th terms of an A.P. is 24 and the sum of the 6th and the 10th terms of the same A.P. is 44. Find the first three terms of the A.P.

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.

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.

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.

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. The product of three numbers in A.P. is 224, and the largest number is...

    Text Solution

    |

  2. The fourth power of common difference of an arithmetic progression wit...

    Text Solution

    |

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

    Text Solution

    |

  4. The internal angles of quadrilateral are in A.P. and their common diff...

    Text Solution

    |

  5. Find the sum of all natural between 250 and 1000 which are exactly ...

    Text Solution

    |

  6. Find the sum of first 20 terms of an A.P., in which 3r d terms in 7 an...

    Text Solution

    |

  7. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

    Text Solution

    |

  8. The sums of n terms of three arithmetical progressions are S1, S2and ...

    Text Solution

    |

  9. If in an A.P. the sum of m terms is equal of n and the sum of n ter...

    Text Solution

    |

  10. The first , second and the last terms of an A.P. are a ,b , c respect...

    Text Solution

    |

  11. If (3+5+7+ u p tont e r m s)/(5+8+11+ u p to10t e r m s)=7, then find...

    Text Solution

    |

  12. In a factory, 150 workers were engaged to finish a piece of work in a ...

    Text Solution

    |

  13. Prove that the sum of n arithmetic means between two numbers in n ti...

    Text Solution

    |

  14. If a ,b ,c are in A.P., then prove that: (a – c)^2 = 4(b^2 – ac).

    Text Solution

    |

  15. If a^2(b+c),b^2(c+a),c^2(a+b), are in A.P. show that either a ,b ,c ar...

    Text Solution

    |

  16. If n arithemetic means are inserted between 20 and 80 such that the ra...

    Text Solution

    |

  17. Along a road lie an odd number of stones placed at intervals of 10 met...

    Text Solution

    |

  18. A carpenter was hired to build 192 window frames. The first day he mad...

    Text Solution

    |

  19. In a potato race 20 potatoes are placed in a line at intervals of 4m e...

    Text Solution

    |

  20. We know that the sum of the interior angles of a triangle is180^0 . S...

    Text Solution

    |