Home
Class 12
MATHS
In an A.P., the p^(th) term is 1/q an...

In an `A.P.`, the `p^(th)` term is `1/q` and the `q^(th)` term is `1/p`. find the `(pq)^(th)` term of the `A.P.`

Text Solution

AI Generated Solution

To solve the problem, we need to find the \((pq)^{th}\) term of an arithmetic progression (A.P.) given that the \(p^{th}\) term is \(\frac{1}{q}\) and the \(q^{th}\) term is \(\frac{1}{p}\). ### Step-by-Step Solution: 1. **Write the general formula for the \(n^{th}\) term of an A.P.**: The \(n^{th}\) term of an A.P. can be expressed as: \[ A_n = A + (n - 1)D ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A) One option is correct|60 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - B) One option is correct|49 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • SETS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-I(Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

The 11^(th) of an A.P. is 80 and the 16^(th) term is 110 . Find the 30^(th) term

Find the 9th and pth terms of the A.P. 2,5,8.

An A.P. consists of 57 terms of which 7th term is 13 and the last term is 108. Find the 45th term of this A.P.

If the (p+q)^(th) term of a G.P. is a and (p-q)^(th) term is b , determine its p^(th) term.

An A.P. consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term of the A.P.

If the 8th term of an A.P. is 31 and the 15th term is 16 more than the 11th term, find the A.P.

The 5th term of an A.P. is 11 and the 9th term is 7. Find the 16th term.

If p^(th) term of an A.P. is q and its q^(th) term is p, show that its r^(th) term is (p + q - r)

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 11th term of an A.P. is 80 and the 16th term is 110. Find the 31st term.

AAKASH INSTITUTE ENGLISH-SEQUENCES AND SERIES -Try Yourself
  1. Find the indiated terms in each of the following A.P. (i) 1, 7, 1...

    Text Solution

    |

  2. The 11^(th) of an A.P. is 80 and the 16^(th) term is 110 . Find the...

    Text Solution

    |

  3. In an A.P., the p^(th) term is 1/q and the q^(th) term is 1/p. fin...

    Text Solution

    |

  4. The sum of three numbers in A.P. is 27 and the sum of their squares i...

    Text Solution

    |

  5. 4. (a) Divide 20 into 4 parts which are in A.P. and such that the prod...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. If a ,b ,c are in A.P., prove that the following are also in A.P. (i) ...

    Text Solution

    |

  8. If a^(2), b^(2),c^(2) are in A.P prove that (a)/(b+c), (b)/(c+a) ,(c)...

    Text Solution

    |

  9. If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P. prove that 1/(b-c),1/(c-a),1/(a...

    Text Solution

    |

  10. If a,b,c are in A.P. prove that: a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are ...

    Text Solution

    |

  11. If a^2(b+c),b^2(c+a),c^2(a+b), are in A.P. show that either a ,b ,c ar...

    Text Solution

    |

  12. Find the sum of all integers from 1to 1001.

    Text Solution

    |

  13. Solve: 1+4+7+10+...+x=590.

    Text Solution

    |

  14. How many term of the A.P. 15 , 12, 9 ., - are needed to give the sum ...

    Text Solution

    |

  15. Let S1, S2 and S3 be the sum of n terms of 3 arithmetic series, the fi...

    Text Solution

    |

  16. If the sum of n tems of a series be 5n^2+3n, find its nth term. Are th...

    Text Solution

    |

  17. The ratio of the sum of n terms of two A.P.\'s is (3n+1):(4n+3). Find ...

    Text Solution

    |

  18. A person is to count 4500 currency notes. Let an denote the number of ...

    Text Solution

    |

  19. A man saves ₹ 200 in each of the first three months of his servies.In ...

    Text Solution

    |

  20. Find the arithmetic between : (i) 56 and 64 (ii) x^(2) - y^(2)...

    Text Solution

    |