Home
Class 10
MATHS
The sum of first six terms of an A.P. is...

The sum of first six terms of an A.P. is 42. The ratio of its 10th term to 30th term is 1 : 3. Calculate the first and 13th term of the A.P.

Text Solution

Verified by Experts

The correct Answer is:
2,26
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( LONG ANSWER QUESTIONS )|21 Videos
  • ARITHMETIC PROGRESSIONS

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos
  • ARITHMETIC PROGRESSIONS

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( SHORT ANSWER QUESTION I)|30 Videos
  • AREAS RELATED TO CIRCLES

    VK GLOBAL PUBLICATION|Exercise Self -Assessment Test|11 Videos
  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|11 Videos

Similar Questions

Explore conceptually related problems

The sum of first 9 terms of an A.P. is 162. The ratio of its 6th term to its 13th term is 1:2 . Find the first and 15 t h term of the A.P.

The sum of first six terms of an A.P.is 42. The ratio of its 10 th term to its 30 th term is 1:3. Find the first term of the A.P.

The sum of first six terms of an AP.is 42. The ratio of its 10^(th) term to its 30^(th) term is 1:3 . Find the first term of the A.P.

The sum of the first six terms of an A.P. is 42. The ratio of the 10th term to the 30th term of A.P. is 1/3 Find the 40th term of the A.P.:

The sum of first 6 terms of an arithmetic progression is 42. The ratio of its 10 th term to its 30 th term is 1:3. Calculate the first and 13 th term of an AP.

If the sum of first n terms of an A.P. is 3n^(2)-2n , then its 19th term is

Find the sum of first 45 terms of an A.P. whose 8^(th) term is 41 and 13^(th) term is 61 .

7^(th) term of an A.P. is 40. Then, the sum of first 13 terms is

3rd term of an A.P. Is 12 and 10th term is 26, then its 20th term is :

If the third term of an A.P. is 12 and 10th term is 26, then its 20th term is :

VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( SHORT ANSWER QUESTION II)
  1. The sum of the 6th and 9 th terms ofan AP is 101 and the sum of the 10...

    Text Solution

    |

  2. The 4t h term of an A.P. is three times the first and the 7t h term...

    Text Solution

    |

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

    Text Solution

    |

  4. If the sum of the first n terms of an AP is 4n - n^(2), what is the 10...

    Text Solution

    |

  5. If the nth term of an AP is (2n +1) then the sum of its first three te...

    Text Solution

    |

  6. The sum of first six terms of an A.P. is 42. The ratio of its 10th ter...

    Text Solution

    |

  7. Find the sum of all three digit natural numbers, which are divisible b...

    Text Solution

    |

  8. Find the sum of the AP 3, 9/2 , 6,15/2 ...... to 25 terms.

    Text Solution

    |

  9. How many terms are there in the A.P. whose first and fifth terms are ...

    Text Solution

    |

  10. Solve the equation -4+(-1)+2+ … +x =437.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Find the sum of the first 25 terms of an A.P. whose n t h term is ...

    Text Solution

    |

  14. Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second mont...

    Text Solution

    |

  15. Find the first term of an AP having 9 terms whose last term is 28 and ...

    Text Solution

    |

  16. In an A.P., the first term is 22, n t h term is -11 and the sum ...

    Text Solution

    |

  17. Find the value of the middle most term(s) of the AP: -15, -1 1 ,..... ...

    Text Solution

    |

  18. Find the sum: (i) (4-(1)/(n))+(4-(2)/(n))+(4-(3)/(n))+…up to n term...

    Text Solution

    |

  19. Which term of the AP -2,-7,-12, … will be -77 ? Find the sum of this A...

    Text Solution

    |

  20. Split 207 into three parts such that these are in AP and the product o...

    Text Solution

    |