Home
Class 9
MATHS
The pth term of an A.P. is q and qth ter...

The pth term of an A.P. is `q` and qth term is `p`. Show that the nth term is `p+q-n` .

Promotional Banner

Topper's Solved these Questions

  • PROGRESSION

    KALYANI PUBLICATION|Exercise EXERCISE|249 Videos

  • MATHEMATICAL LOGIC

    KALYANI PUBLICATION|Exercise EXERCISE|290 Videos

  • SYSTEM OF NUMERATION

    KALYANI PUBLICATION|Exercise EXERCISE|101 Videos

Similar Questions

Explore conceptually related problems

The pth term of an A.P. is —q and qth term is -p. If the nth term is zero, find n.

The sum of the pth and qth term of an A.P. is one, and rth term is one. Show that the pth term is frac(q-r)(p+q-2r)

In a given A.P. it pth term is q and qth term is p, then show that the nth term is (p + q - n) .

If 7 times the 7th term of an A.P is equal to 11 times its 11th term,Show that the 18th term of an A.P is zero.

The pth term of an A.P. is twice the qth term. Again the sum of qth and rth term is 2. Prove that the pth term is frac(4(q-p))(3q-2p-r)

The third term of an A.P. is 7 and its seventh term is 2 more than three times the third term. Find the sum of first 20 terms.

If 5 times the fifth term of an A.P. .is equal to 8 times its eight term, show that 13th term is zero.

The seventh term of an A.P. is 20 and the sum of first twenty terms is 610. Find the tenth term and the sum of first fifteen terms.

The sum of the first term and pth term of an A.P. is zero. Show that the ((p+1)/2) th term is zero.

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

KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. In a certain A.P., the 24th term is twice the 10th term. Prove that ...

    Text Solution

    |

  2. If the mth term and nth term of an A.P. are respectively n and m show ...

    Text Solution

    |

  3. The pth term of an A.P. is q and qth term is p. Show that the nth term...

    Text Solution

    |

  4. The pth term of an A.P. is —q and qth term is -p. If the nth term is z...

    Text Solution

    |

  5. The sum of the first term and pth term of an A.P. is zero. Show that t...

    Text Solution

    |

  6. The sum of the pth and the qth term of an A.P. is equal to the sum of ...

    Text Solution

    |

  7. If pth, qth and rth term of an A.P. are in A.P., show that p, q, r als...

    Text Solution

    |

  8. If the qth term of an A.P. is twice the pth term and rth term is twice...

    Text Solution

    |

  9. The sum of the pth and qth term of an A.P. is one, and rth term is one...

    Text Solution

    |

  10. The pth term of an A.P. is twice the qth term. Again the sum of qth an...

    Text Solution

    |

  11. The sum of three consecutive terms of an A.P. is 21 and their product ...

    Text Solution

    |

  12. The sum of three consecutive terms of an A.P. is 36 and their product ...

    Text Solution

    |

  13. The sum of three consecutive terms of an A.P. is 54. If the product of...

    Text Solution

    |

  14. The sum of three numbers in A.P. is 12. If the sum of the squares is 5...

    Text Solution

    |

  15. Three integers are in A.P. If the product of the first and last is 60 ...

    Text Solution

    |

  16. Divide 69 into three parts such that the parts may form as A.P. and th...

    Text Solution

    |

  17. Divide 72 into three parts such that the parts may form,an AP. and the...

    Text Solution

    |

  18. The product of three numbers in A.P. is 648. If the greatest is twice ...

    Text Solution

    |

  19. The sum of the squares of three numbers in A.P. is 116. If the greates...

    Text Solution

    |

  20. The sum of three numbers in A.P.is 30. If the product of the last...

    Text Solution

    |