Home
Class 10
MATHS
If m times the m^(th) term of an A.P. is...

If m times the `m^(th)` term of an A.P. is equal to n times the `n^(th)` term, prove that the `(m+n)^(th)` term of the A.P. is zero.

Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    BEYOND PUBLICATION|Exercise EXERCISE|259 Videos

  • PROBABILITY

    BEYOND PUBLICATION|Exercise EXERCISE|136 Videos

  • QUADRATIC EQUATIONS

    BEYOND PUBLICATION|Exercise EXAMPLE|135 Videos

Similar Questions

Explore conceptually related problems

If the mth term of an A.P is n and nth term is m , then pth term =

If 100 times the 100^(th) term of an A.P with non zero common different equals the 50 times its 50^(th) term, then the 150^(th) term of this AP is

Find the (i) 30^(th) term of the A.P. : 10,7,4, ……

The 8^(th) term of an A.P. is 17 and the 19^(th) term is 39. Find the 25^(th) term.

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

If the sum of m terms of an A.P, is equal to the sum of n terms of the A.P ., then the sum of (m + n) terms is

If 10th term of an A.P is 15 and 15th term is 10, then 4th term is

Find the 31^(th) term of an A.P. whose 11^(th) term is 38 and the 16^(th) term is 73.

The first term of an A.P. is -2 and the 10^(th) term is 16. Determine the 15^(th) term.

Find the 30^(th) term of the A.P. 7,11,15,19,….

BEYOND PUBLICATION-PROGRESSIONS-EXERCISE
  1. The first term of an A.P. is -2 and the 10^(th) term is 16. Determine ...

    Text Solution

    |

  2. The 8^(th) term of an A.P. is 17 and the 19^(th) term is 39. Find the ...

    Text Solution

    |

  3. If m times the m^(th) term of an A.P. is equal to n times the n^(th) t...

    Text Solution

    |

  4. Each term of an A.P. is doubled. Is the resulting sequence also an A.P...

    Text Solution

    |

  5. The third term of an A.P. is 'p' and the fourth term 'q'. Find the 10^...

    Text Solution

    |

  6. Find the 20^(th) term and n^(th) term of the A.P. 21,16,11,….

    Text Solution

    |

  7. Write the first three terms defined by an= n/(n+1)

    Text Solution

    |

  8. find the sum of the following A.Ps 7,11,15,….,12 terms, n terms.

    Text Solution

    |

  9. find the sum of the following A.Ps 3,5,7,…to 50 terms.

    Text Solution

    |

  10. find the sum of the following A.Ps -2,4,10,….21 terms, 50 terms.

    Text Solution

    |

  11. find the sum of the following A.Ps 1,1/4,3/2,32,…..to81 terms.

    Text Solution

    |

  12. Find the sum of 32 terms of an A.P. whose third term is 1 and 6^(th) t...

    Text Solution

    |

  13. Determine the sum of first 35 terms of an A.P. if a2=2 and a7 =22.

    Text Solution

    |

  14. Find the sum to 'n' terms of an A.P. whose 7^(th) term is 30 and 13^(t...

    Text Solution

    |

  15. How many terms are there in an A.P. whose first and fifth terms are -1...

    Text Solution

    |

  16. Find the sum of all natural numbers between 100 and 1000 which are mul...

    Text Solution

    |

  17. If the 8^(th) term of an A.P. is 31 and 15th term is 16 more than the ...

    Text Solution

    |

  18. Which term of the A.P.5,15,25,… will be 130 more than its 31^(st) term...

    Text Solution

    |

  19. The sum of 5^(th) and 9^(th) terms of A.P. is 72 and the sum of 7th an...

    Text Solution

    |

  20. How many mulitiples of 4 lie between 10 and 250?

    Text Solution

    |