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

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.

Text Solution

Verified by Experts

Given:
`a_3 + a_7=6 `----- (1)
`a_3 × a_7 = 8` ----- (2)
We know that nth term of AP is `a_n = a + (n - 1)d`
...
Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA|Exercise All Questions|251 Videos
  • CIRCLES

    RD SHARMA|Exercise All Questions|131 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 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 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.

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

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

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

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

If the second and seventh terms of an A.P. are 2 and 22 respectively. Find the sum of first 35 terms:

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. The first and the last terms of an A.P. are 5 and 45 respectively. If ...

    Text Solution

    |

  2. Two cars start together in the same direction from the same place. The...

    Text Solution

    |

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

    Text Solution

    |

  4. If (m+1)^(t h) term of an A.P. is twice the (n+1)^(t h) term, prove th...

    Text Solution

    |

  5. In a school students thought of planting trees in and around the sc...

    Text Solution

    |

  6. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

    Text Solution

    |

  7. The ratio of the sum of n terms of two A.Ps is (7n+1):(4n+27)dot Find ...

    Text Solution

    |

  8. If there are (2n+1) terms in A.P., then prove that the ratio of the s...

    Text Solution

    |

  9. Raghav buys a shop of Rs. 1,20,000. He pays half of the amount in cash...

    Text Solution

    |

  10. Which term of the A.P. 3,15,27, 39, ... will be 120 more than its 21st...

    Text Solution

    |

  11. The 17th term of an A.P. is 5 more than twice its 8th term. If the ...

    Text Solution

    |

  12. The sum of three numbers in A.P. is -3, and their product is 8. Find t...

    Text Solution

    |

  13. Find the four numbers in A.P. whose sum is 20 and the sum of whose ...

    Text Solution

    |

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

    Text Solution

    |

  15. The angles of a quadrilateral are in A.P. whose common difference is 1...

    Text Solution

    |

  16. Consider the A.P. 2,5,8, 11 ,........ ,302. Show that twice of the mi...

    Text Solution

    |

  17. For what value of n the n^(t h) terms of the following two A.Ps the s...

    Text Solution

    |

  18. How many terms are there in the sequence 3,6,9, 12 , 111 ?

    Text Solution

    |

  19. Find the middle term of the A.P. 6, 13 , 20 , ...... 216.

    Text Solution

    |

  20. Show that the sequence 9,12,15,18,... is an A.P. Find its 16th term...

    Text Solution

    |