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

If m times the `m^(th)` term of an AP is equal to n times its `n^(th)` term, show that the `(m + n)^(th)` term of the AP is zero.

Promotional Banner

Topper's Solved these Questions

  • (2019) QUESTION PAPER

    AGRAWAL PUBLICATION|Exercise EXAMPLE|25 Videos
  • ARITHMETIC PROGRESSIONS

    AGRAWAL PUBLICATION|Exercise EXAMPLE|102 Videos

Similar Questions

Explore conceptually related problems

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

If m xx the m^(th) term of an A.P.is equal to n xx its n^(th) term,show that the (m+n)^(th) term of the A.P.is zero.

If 6 times the 6^(th) term of an A.P, is equal to 9 times the 9^(th) term, show that its 15^(th) term is zero.

If 6 times the 6^(th) term of an A.P, is equal to 9 times the 9^(th) term, show that its 15^(th) term is zero.

If 9 times the 9th term of an AP is equal to 13 times the 13th term, show that its 22 nd term is 0.

If m xx the mth term of an AP is equal to n xx its nth term,then show that (m+n) th term of an AP is zero.

If m time the m^(th) term of an Arithmetic Progression is equal to n times its n^(th) term and mnen ,show that the (m+n)^(th) term of the AP is zero .

If '7' times the '7^(th)' term of an A.P is equal to '11' times of its '11^( th)' term then the '18^(th)' term of AP is

If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be

If m times the mth term of an A.P. is equal to n times its nth term, find (m + n) th term of the A.P.:

AGRAWAL PUBLICATION-2020 QUESTION PAPER (1)-EXERCISE
  1. Find the value of p, if the mean of the following distribution is 7.5

    Text Solution

    |

  2. Find a, b and c if its is given that the numbers a, 7, b, 23, c are in...

    Text Solution

    |

  3. If m times the m^(th) term of an AP is equal to n times its n^(th) ter...

    Text Solution

    |

  4. Find the value of k, for which the quadratic equation (k + 4)^2 + (k +...

    Text Solution

    |

  5. On dividing (x^(3)-3x^(2)+x+2) by a polynomial g(x), the quotient and ...

    Text Solution

    |

  6. If the sum of the squares of zeroes of the quadractic polynomial f(x) ...

    Text Solution

    |

  7. In what ratio does the point P(-4,y) divide the line segmetn joining t...

    Text Solution

    |

  8. Prove that a tangent to a circle is perpendicular to the radius throug...

    Text Solution

    |

  9. Prove that the angle between the two tangents drawn from an external ...

    Text Solution

    |

  10. In a right triangle, prove that the squre of the hypotenuse is equal t...

    Text Solution

    |

  11. If sin theta + cos theta = p and sec theta + cosec theta = q. show tha...

    Text Solution

    |

  12. 500 persons are taking a dip into a cuboidal pond which is 80 m long a...

    Text Solution

    |

  13. Show that (12)^n cannot end with digit 0 or 5 for any natural number n...

    Text Solution

    |

  14. Prove that (sqrt 2 + sqrt 5)is irrational.

    Text Solution

    |

  15. A train covered a certain distance at a uniform speed. If the train wo...

    Text Solution

    |

  16. If an equilateral triangle ABCD is a point on the side BC such that BD...

    Text Solution

    |

  17. Prove that the sum of squres of the sides of a rhombus is equal to the...

    Text Solution

    |

  18. If the angle of elevation of a cloud from a point 10 metres above a la...

    Text Solution

    |

  19. A vertical tower of height 20 m stands on a horizontal plane and is s...

    Text Solution

    |

  20. A solid iron cuboidal block of dimensions 4.4 m xx 2.6 mxx 1 m is cast...

    Text Solution

    |