Home
Class 10
MATHS
If the 3rd and the 9^(t h)terms of an AP...

If the 3rd and the `9^(t h)`terms of an AP are 4 and `- 8` respectively, which term of this AP is zero?

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the properties of Arithmetic Progressions (AP). ### Step 1: Understand the terms of the AP The nth term of an AP can be expressed as: \[ T_n = a + (n - 1) \cdot d \] where: - \( T_n \) is the nth term, - \( a \) is the first term, ...
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

If the third and the 9th terms of an A.P. be 4 and -8 respectively, find which term is zero ?

If the 3rd and the 9th terms of an arithmetic progression are 4 and -8 respectively, which term of it is zero ?

If the 3rd and the 6th terms of an A.P. are 7 and 13 respectively, find the first' term and the common difference.

The 10 t h and 18 t h terms of an A.P. are 41 and 73 respectively. Find 26 t h term.

(a) The 3rd and 19th terms of an A.P. are 13 and 77 respectively. Find the A.P. (b) The 5th and 8th terms of an A.P. are 56 and 95 respectively. Find the 25th term of this A.P. (c) The pth and qth terms of an A.P. are q and p respectively. Prove that its (p + q)th term will be zero.

The first term, second term and middle term of an A.P. are a, b and c respectively. The sum of this A.P. is :

(i) The 3rd and 19th terms of an A.P. are 13 and 17 respectively. Find its 10th term. (ii) The 5th and 8th terms of an A.P. are 56 and 95 respectively. Find its 25th term.

Which term of the A.P. 90+87+84+…is zero ?

In an A.P., if the 5t h and 12 t h terms are 30 and 65 respectively, what is the sum of first 20 terms?

NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. If the sum of the first 14 terms of an AP is 1050 and its first term ...

    Text Solution

    |

  2. An AP consists of 50 terms of which 3rd term is 12 and the last term ...

    Text Solution

    |

  3. If the 3rd and the 9^(t h)terms of an AP are 4 and - 8 respectively, w...

    Text Solution

    |

  4. A small terrace at a football ground comprises of 15 steps each of wh...

    Text Solution

    |

  5. In which of the following situations, does the list of numbers involv...

    Text Solution

    |

  6. 200 logs are stacked in the following manner: 20 logs in the bottom r...

    Text Solution

    |

  7. For the following AP's, write the first term and the common differenc...

    Text Solution

    |

  8. Write first four terms of the AP, when the first term a and the commo...

    Text Solution

    |

  9. Which of the following are AP's ? If they form an AP, find the common ...

    Text Solution

    |

  10. Find the sum of :(i)         the first 1000 positive integers(ii)    ...

    Text Solution

    |

  11. Show that a1,a2,...,an,... form an AP where an is defined as below : ...

    Text Solution

    |

  12. If the sum of the first n terms of an AP is 4n-n^2, what is the first ...

    Text Solution

    |

  13. Find the sum of the first 40 positive integers divisible by 6.

    Text Solution

    |

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

    Text Solution

    |

  15. Find the sum of the odd numbers between 0 and 50.

    Text Solution

    |

  16. A contract on construction job specifies a penalty for delay of compl...

    Text Solution

    |

  17. A sum of Rs 700 is to be used to give seven cash prizes to students o...

    Text Solution

    |

  18. In a school students thought of planting trees in and around the scho...

    Text Solution

    |

  19. In the following APs, find the missing terms in the boxes : (i) 2,squa...

    Text Solution

    |

  20. The sum of the third and the seventh terms of an AP is 6 and their pr...

    Text Solution

    |