Home
Class 11
MATHS
If m times the mth term is equal to n ti...

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

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    JBD PUBLICATION|Exercise EXAMPLE|54 Videos
  • RELATIONS AND FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos
  • SETS

    JBD PUBLICATION|Exercise EXAMPLE|58 Videos

Similar Questions

Explore conceptually related problems

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

If six times the sixth term of an A.P. is equal to nine times the ninth term, then show that its 15^(th) term is zero ?

If 5 times the 5^(th) term of an A.P. is equal to 7 times the 7^(th) term, find its 12^(th) term.

In a certain A.P., 5 times the 5th term is equal to 8 times the 8th terms then find its 13th term.

Find the sum of first n terms of an A.P. whose nth term is 3n+1.

The 7th term of an A.P. is zero. Prove that 25th term is twice the 16th term.

In an A.P., the mth term is 1/n and the nth term is 1/m , find the (mn)th term.

Find the second term and nth term of an A.P. whose 6th term is 12 and 8th term is 22.

Determine 2nd term and rth term of an A.P. whose 6th term is 12 and 8th term is 22 .

JBD PUBLICATION-SEQUENCES AND SERIES-EXAMPLE
  1. If 3rd term of a G.P. is 324 and 7th term is 64, then find the 10th te...

    Text Solution

    |

  2. How many terms of G.P. 3, 3^2, 3^3, ... are needed to give the sum 120...

    Text Solution

    |

  3. If m times the mth term is equal to n times the nth term of an A.P. pr...

    Text Solution

    |

  4. If the pth, qth and rth terms of an A.P. be x,y,z repsectively, then s...

    Text Solution

    |

  5. In an A.P., the first term is 2 and the sum of the first five terms is...

    Text Solution

    |

  6. Find the sum of all natural numbers lying between 100 and 1000, which ...

    Text Solution

    |

  7. Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respective...

    Text Solution

    |

  8. The sums of n terms of two arithmetic progressions are in the ratio 5n...

    Text Solution

    |

  9. Prove that the sum of n arithmetic means between two numbers is n time...

    Text Solution

    |

  10. The digits of a positive integer having three digits are in AP and the...

    Text Solution

    |

  11. If the first and the nth terms of a GP are a and b respectively and if...

    Text Solution

    |

  12. How many terms of the series sqrt(3) + 3 + 3sqrt(3) +…... will make th...

    Text Solution

    |

  13. Find the sum of n terms of the following sequences: 8+88+888+……………..up...

    Text Solution

    |

  14. The A.M. between two positive numbers is 34 and their G.M. is 16. find...

    Text Solution

    |

  15. If a be the A.M. and x, y be the two G.M's between b and c, show that ...

    Text Solution

    |

  16. The sum of three numbers which are consecutive terms of an A.P. is 21....

    Text Solution

    |

  17. If a,b,c are in A.P. and x,y,z are in G.P., then show that x^(b-c).y(c...

    Text Solution

    |

  18. Find a G.P. for which sum of the first two terms is -4 and the fifth t...

    Text Solution

    |

  19. The sum of an inifinite G.P. is 8. If the second term is 2, then find ...

    Text Solution

    |

  20. Find the sum to n terms of the series 3 xx 8 + 6 xx 11 + 9 xx 14 + …

    Text Solution

    |