Home
Class 10
MATHS
The sum of first seven terms of an AP is...

The sum of first seven terms of an AP is 182. If its 4th and the 17th term are in the ratio 1:5, find the AP.

Text Solution

Verified by Experts

The correct Answer is:
2,10,18,26,......
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise EXERCISE 5.1|28 Videos
  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise EXERCISE 5.2|30 Videos
  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise OTHER IMPORTANT EXAMPLES|13 Videos
  • AREAS RELATED TO CIRCLES

    KUMAR PRAKASHAN|Exercise Objective Questions|25 Videos
  • CIRCLE

    KUMAR PRAKASHAN|Exercise Objective Questions (True & False)|4 Videos

Similar Questions

Explore conceptually related problems

The sum of first n terms of an AP is 5n^2 + 3n If its mth term is 168, find the value of m. Also find the 20th term of the AP.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

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

If the sum of first n terms of an AP is 1/2 (3n^(2) + 7n) , then find its nth term. Hence write its 20th term.

If the sum of the first ten terms of an A.P is four times the sum of its first five terms, the ratio of the first term to the common difference is:

The sum of the first 7 terms of an A.P is 10 and that of next 7 terms is 17. Find the progression.

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.

KUMAR PRAKASHAN-ARITHMETIC PROGRESSION-TEST YOUR SKILLS
  1. Find the number of odd integers between 2 and 100 which are divisible ...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the 20th term of the AP whose 3rd term is 7 and the 7 term exceed...

    Text Solution

    |

  4. The first and the last term of an AP are 7 and 49 respectively. If th...

    Text Solution

    |

  5. Find : Sum of those integers between 1 and 500 which are multiples...

    Text Solution

    |

  6. Find : Sum of those integers from 1 to 500 which are multiples of ...

    Text Solution

    |

  7. Find : Sum of those integers from 1 to 500 which are multiples of ...

    Text Solution

    |

  8. The sum of first seven terms of an AP is 182. If its 4th and the 17th ...

    Text Solution

    |

  9. If the sum of first n terms of an AP is 1/2 (3n^(2) + 7n) , then find ...

    Text Solution

    |

  10. If Sn denotes the sum of first n terms of an AP, prove that S(12) = 3...

    Text Solution

    |

  11. The ratio of the sum of first n terms of two APs is (7n + 1): (4n + 27...

    Text Solution

    |

  12. A man repays a loan of Rs 3250 by paying Rs 20 in the first month and ...

    Text Solution

    |

  13. If the 12th term of an AP is -13 and the sum of its first four terms i...

    Text Solution

    |

  14. Kartikay repays his total loan of Rs 1,18,000 by repaying every month....

    Text Solution

    |

  15. The 9th term of an AP is equal to 6 times the second term. If its 5th ...

    Text Solution

    |

  16. The sum of the first 7 terms of an AP is 63 and the sum of its next 7 ...

    Text Solution

    |

  17. Which term of the AP 75, 72, 69, ... is its first negative term ? If i...

    Text Solution

    |

  18. Three numbers in AP have the sum 18 and the sum of their squares is 18...

    Text Solution

    |

  19. Find four consecutive terms in AP whose sum is 20 and the sum of whose...

    Text Solution

    |

  20. Ramkali required Rs 2500 after 12 weeks to send her daughter to school...

    Text Solution

    |