Home
Class 11
MATHS
The ratio of the sums of m terms and n t...

The ratio of the sums of m terms and n terms of an A.P. is `m^(2) : n^(2).` Prove that the ratio of their mth and nth term will be (2m - 1) : (2n-1).

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.3 )|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.4 )|10 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.1 )|14 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2) . Show that the ratio mth and nth term is (2n-1) : (2n-1).

If the ratio of the sums of m and n terms of A.P. is m^(2):n^(2) , then the ratio of its m^(th) and n^(th) terms is given by

If the ratio of sum of m terms of an AP to the sum of n terms of the same AP is (m^(2))/(n^(2)) .Then prove that the ratio of its mth and nth terms is 2m-1:2n-1.

The ratio of sums ofn terms of two A.P'.s is (2n + 1) : (2n - 1). Prove that the ratio of their 12th terms will be 47 : 45.

The sum of m terms and n terms of an A.P. ae equal. Prove that the sum of (m+n) terms will be zero. Given that mnen.

if the sum of m terms of an A.P is to the sum of n terms as m^(2) to n^(2) show that the mth term is to the n th term as 2m-1 to 2n-1

The ratio of the sum of n terms of two A.P.'s is (7n+1):(4n+27). Find the ratio of their mth terms.

The ratio of sums of n terms of two A.P'. is (7n + 1) : (4n + 27). Find the ratio of their 11th terms.

MODERN PUBLICATION-SEQUENCES AND SERIES-NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.2 )
  1. Find the sum of odd integers from 1 to 2001.

    Text Solution

    |

  2. Find the sum of all natural numbers lying between 100 and 1000, whi...

    Text Solution

    |

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

    Text Solution

    |

  4. How many terms of the A.P. -6,-(11)/(2),-5… are needed to give the sum...

    Text Solution

    |

  5. In an A.P., if p^(t h)term is 1/qand q^(t h)term is 1/p, prove that t...

    Text Solution

    |

  6. If the sum of a certain number of terms of the A.P. 25, 22, 19.... ...

    Text Solution

    |

  7. Find the sum to n terms of the A.P., whose kth term is 5k+1.

    Text Solution

    |

  8. If the sum of n terms of an A.P. is (pn+qn^(2)), where p and q are con...

    Text Solution

    |

  9. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

    Text Solution

    |

  10. If the sum of first p terms of an A.P. is equal to the sum of the firs...

    Text Solution

    |

  11. Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...

    Text Solution

    |

  12. The ratio of the sums of m terms and n terms of an A.P. is m^(2) : n^(...

    Text Solution

    |

  13. If the sum of n terms of an A.P. is 3n^(2)+5n and its mth term is 164,...

    Text Solution

    |

  14. Insert five numbers between 8 and 26 such that the resulting sequence ...

    Text Solution

    |

  15. "If " (a^(n)+b^(n))/(a^(n-1)+b^(n-1))" is the A.M. between" a and b, t...

    Text Solution

    |

  16. Between 1 and 31, m numbers have been inserted in such a way that the ...

    Text Solution

    |

  17. A man starts repaying a loan as first instalment of Rs. 100. If he ...

    Text Solution

    |

  18. The difference between any two consecutive interior angles of a polyg...

    Text Solution

    |