Home
Class 10
MATHS
The sum of the 4th and 8th terms of an A...

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

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the properties of an Arithmetic Progression (AP). ### Step 1: Define the terms of the AP Let the first term of the AP be \( A \) and the common difference be \( D \). The terms can be expressed as: - First term: \( A \) - Second term: \( A + D \) - Third term: \( A + 2D \) - Fourth term: \( A + 3D \) ...
Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|6 Videos
  • CIRCLES

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|3 Videos

Similar Questions

Explore conceptually related problems

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

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 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 34. Find the first term and the common difference of the A.P.

The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 34. Find the first term and the common difference 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 sum of 5th and 9th term of an A.P. is 72 and the sum of 7th and 12th terms is 97 . Find that

If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7th and 14th terms is -3 , then find the 10th term.

The sum of the 5th and the 7th terms of an AP is 52 and the 10th term is 46. Find the AP.

The sum of the first 7 terms of an AP is 63 and the sum of its next 7 terms is 161. Find the 28th term of this AP.

The sum of 3^(rd) and 11^(th) terms of an A.P. is 34. Find the sum of its 13 terms.

NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. In a potato race, a bucket is placed at the starting point, which is ...

    Text Solution

    |

  2. Subba Rao started work in 1995 at an annual salary of Rs 5000 and rec...

    Text Solution

    |

  3. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6t...

    Text Solution

    |

  4. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 28...

    Text Solution

    |

  5. Find the sum of first 51 terms of an AP whose second and third terms ...

    Text Solution

    |

  6. Find the 31^(s t) term of an AP whose 11^(t h)term is 38 and the 16^(t...

    Text Solution

    |

  7. A ladder has rungs 25 cm apart, (see Figure). The rungs decrease unif...

    Text Solution

    |

  8. In an AP: given a=8,an=62,Sn=210 find n and d

    Text Solution

    |

  9. Find the sums given below : (i) 7+10 1/2+14+...+84 (ii) 34+32+30+...+...

    Text Solution

    |

  10. Find the sum of the following APs : (i) 2, 7, 12, . . . , to 10 terms...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The first term of an AP is 5, the last term is 45 and the sum is 400. ...

    Text Solution

    |

  14. How many terms of the AP: 9, 17, 25, . . . must be taken to give a su...

    Text Solution

    |

  15. A spiral is made up of successive semicircles, with centres alternate...

    Text Solution

    |

  16. Ramkali saved Rs 5 in the first week of a year and then increased her...

    Text Solution

    |

  17. Find the sum of first 24 terms of the list of numbers whose nth term ...

    Text Solution

    |

  18. Fill in the blanks in the following table, given that a is the first ...

    Text Solution

    |

  19. Choose the correct choice in the following and justify (i) 30th term ...

    Text Solution

    |

  20. A manufacturer of TV sets produced 600 sets in the third year and 700 ...

    Text Solution

    |