Home
Class 10
MATHS
If sum of the 3rd and the 8th terms of a...

If sum of the 3rd and the 8th terms of an AP is `7` and the sum of the 7th and 14th terms is `-3`, then find the 10th term.

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 Problem We are given two conditions regarding the sums of specific terms in an arithmetic progression (AP): 1. The sum of the 3rd and 8th terms is 7. 2. The sum of the 7th and 14th terms is -3. We need to find the 10th term of the AP. ...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|10 Videos

  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR ENGLISH|Exercise Very Short Answer Type Questions|8 Videos

  • AREAS RELATED TO CIRCLE

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|20 Videos

  • CIRCLES

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 9.4 LONG ANSWER TYPE QUESTIONS|14 Videos

Similar Questions

Explore conceptually related problems

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

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

The sum of 4th and 8th terms of an A.P. is 24 and the sum of 6th and 10th terms is 44. Find the A.P.

The sum of 5th and 9th term of an A.P. is 72 and the sum of 7th and 12th terms is 97 . Find that

The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 34. Find the first term and the common difference of the A.P.

The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 34. Find the first term and the common difference of the A.P.

The sum of the 4th term and the 8th term of an A.P is 24 and the sum of the 6th term and the 10th term is 44. Find the first three terms of the A.P.

The sum of the 4th and the 8th terms of an A.P. is 24 and the sum of the 6th and the 10th terms of the same A.P. is 44. Find the first three terms of the A.P.

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

The sum of 3^(rd) and 11^(th) terms of an A.P. is 34. Find the sum of its 13 terms.

NCERT EXEMPLAR ENGLISH-ARITHMETIC PROGRESSIONS-Short Answer Type Questions
  1. The angles of a triangle are in A.P. The greatest angle is twice the l...

    Text Solution

    |

  2. If the nth terms of the two AP's 9, 7, 5, … and 24, 21, 18, … are the ...

    Text Solution

    |

  3. If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7...

    Text Solution

    |

  4. Find the 12th term from the end of the AP -2, -4, -6, …, -100.

    Text Solution

    |

  5. Which term of the AP 53, 48, 43, … is the first negative term ?

    Text Solution

    |

  6. How many numbers lie between 10 and 300, which divided by 4 leave a re...

    Text Solution

    |

  7. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

    Text Solution

    |

  8. The first term of an AP is -5 and the last term is 45. If the sum of t...

    Text Solution

    |

  9. Find the sum (i) 1+(-2)+(-5)+(-8)+ … +(-236) (ii) (4-(1)/(n))+(4-(...

    Text Solution

    |

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

    Text Solution

    |

  11. If a(n)=3-4n, then show that a(1),a(2),a(3), … form an AP. Also, find ...

    Text Solution

    |

  12. In an AP, If S(n)=n(4n+1), then find the AP.

    Text Solution

    |

  13. In an AP, If S(n)=3n^(2)+5n and a(k)=164, then find the value of k.

    Text Solution

    |

  14. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

    Text Solution

    |

  15. Find the sum of first 17 terms of an AP whose 4th and 9th terms are -1...

    Text Solution

    |

  16. If sum of first 6 terms of an AP is 36 and that of the first 16 terms ...

    Text Solution

    |

  17. Find the sum of all the 11 terms of an AP whose middle most term is 30...

    Text Solution

    |

  18. Find the sum of last ten terms of the AP 8, 10, 12, …, 126.

    Text Solution

    |

  19. Find the sum of first seven numbers which are multiples of 2 as well a...

    Text Solution

    |

  20. How many terms of the AP -15, -13, -11, … are needed to make the sum ...

    Text Solution

    |