Home
Class 10
MATHS
The sum of the third and seventh terms o...

The sum of the third and seventh terms of an A.P. s 6 and their product is 8. Find the first term and the common difference of the A.P.

Text Solution

Verified by Experts

The correct Answer is:
`a=5` , `d=(1)/(2)` or `-(1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGESSION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.1|18 Videos

  • ARITHMETIC PROGESSION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 3.2|13 Videos

  • ARITHMETIC PROGRESSION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNMENT 3.4|11 Videos

Similar Questions

Explore conceptually related problems

The sum of the third and the seventh terms of an A.P. is 6 and the product is 8. Find the sum of first sixteen terms of the A.P

The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP.

The sum of the third and the seventh terms of an A.P. is 32 and their product is 220. Find the sum of the first twenty one terms of the A.P. (The terms of the A.P are in ascending order)

The third term of an A.P. is 25 and the tenth term is -3. find the first term and the common difference.

The sum of the first three terms of an A.P. is 36 while their product is 1620. Find the A.P.

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

The sum of n terms of an A.P.is 3n^(2)-n. Find the first term and common difference of A.P.

The sum of the first fifteen terms of an A.P. is 105 and the sum of the next fifteen terms is 780. Find the common difference of A.P.:

For an A.P. if the first term is 8 and the common difference is 8, then S_(n) =

The first term of an A.P. is 5, the last term is 45 and sum is 400. Find the number of terms and the common difference.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-ARITHMETIC PROGESSION -PRACTICE SET 3.4
  1. The sum of the third and seventh terms of an A.P. s 6 and their produ...

    Text Solution

    |

  2. On 1st Jan 2018, Sanikadecides to save Rupees 10,Rupees 11 on the seco...

    Text Solution

    |

  3. A man Borrows Rs. 8000 and agrees to repay with a total interest of Rs...

    Text Solution

    |

  4. Sachin invested Rs. 5000 for the 1st year, Rs. 7000 for the 2nd year, ...

    Text Solution

    |

  5. There is an auditorium with 27 rows of seats. There are seats in the f...

    Text Solution

    |

  6. Kargil's temperature was recorded in a week from Monday to Saturday. A...

    Text Solution

    |

  7. On the world environment day tree plantation programme was arranged on...

    Text Solution

    |

  8. Choose the correct alternative answer for each of the following subque...

    Text Solution

    |

  9. The first four terms of an Ap whose first term is -2 and the common di...

    Text Solution

    |

  10. What is the sum of the first 30 natural numbers?

    Text Solution

    |

  11. For an A.P. if t(7)=4.d=-4.then a=…..

    Text Solution

    |

  12. For an A.P. if a=3.5,d=0,n=101, then t(n)=….

    Text Solution

    |

  13. The 21st term of an AP whose first two terms are -3 and 4, is

    Text Solution

    |

  14. If for an A.P.,d=5, then t(18)-t(13)=….

    Text Solution

    |

  15. The sum of first five multiples of 3 is

    Text Solution

    |

  16. The sum of the first ten terms of the A.P.15,10,5,….is……

    Text Solution

    |

  17. The sum of an A.P. is 1 and the nth term is 20. If S(n)=399, then n=…....

    Text Solution

    |

  18. The 4th term from the end of an AP -11, -8, -5, …, 49 is

    Text Solution

    |

  19. The sun of the 5th and the 7th terms of an AP is 52 and the 10th term ...

    Text Solution

    |

  20. Find the sum of the first ten terms of the A.P. whose 4th term is -15 ...

    Text Solution

    |

  21. Two A.P's are given 9,7,5..and 24,21,18,….If n^(th)term of both the pr...

    Text Solution

    |