Home
Class 11
MATHS
If the ratio of the sum of m terms and n...

If the ratio of the sum of m terms and n terms of an A.P. be `m^2 : n^2`, prove that the ratio of its mth and nth terms is `(2m-1): (2n-1)`.

Text Solution

Verified by Experts

N/a
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9D|11 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9E|15 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9B|18 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISC Exercise|16 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^2dot Show that the ratio of the mth and nth terms is (2m-1):(2n-1)dot

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

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

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 (2m-1) : (2n-1).

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 (2m-1) : (2n-1).

The ratio of the sums of m and n terms of an A.P. is m^2: n^2 .Show that the ratio of m^(t h) and n^(t h) term is (2m" "-" "1)" ":" "(2n" "-" "1) .

If the ratio of the sum of first n terms of two AP's is (7n+1) : (4n + 27), then find the ratio of their mth terms.

If the ratio of the sum of first n terms of two AP's is (7n+1) : (4n + 27), then find the ratio of their mth terms.

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.

If the sum of first n terms of an A.P. is 3n^2 + 2n , find its r^(th) term.

NAGEEN PRAKASHAN ENGLISH-SEQUENCE AND SERIES-Exercise 9C
  1. The sum of 20 and 28 terms of an A.P. are equal. Find the sum of 48 te...

    Text Solution

    |

  2. In an A,P if the pth term is (1)/(q) and q^(th) terms is (1)/(p). Prov...

    Text Solution

    |

  3. The sum of15 terms of an A.P. is zero and its 4th term is 12. Find its...

    Text Solution

    |

  4. The common difference, last term and sum of terms of an A.P. are 4, 31...

    Text Solution

    |

  5. If (0,-3)a n d(0,3) are the two vertices of an equilateral triangle, f...

    Text Solution

    |

  6. If there are (2n+1) terms in A.P. , then prove that the ratio of the s...

    Text Solution

    |

  7. In an A.P., if T(1) +T(5)+ T(10) +T(15)+ T(20) + T(24) = 225, find the...

    Text Solution

    |

  8. The nth term of an A.P. is (5n-1). Find the sum of its 'n' terms.

    Text Solution

    |

  9. The sum of 8 terms of an A.P. is 64 and sum of 17 terms is 289. Find t...

    Text Solution

    |

  10. The ratio of sums ofn terms of two A.P'.s is (2n + 1) : (2n - 1). Prov...

    Text Solution

    |

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

    Text Solution

    |

  12. If the ratio of the sum of m terms and n terms of an A.P. be m^2 : n^2...

    Text Solution

    |

  13. How many terms of the progression 54 + 51 + 48 +... has the sum 513 ? ...

    Text Solution

    |

  14. The pth and qth terms of an A.P. are x and y respectively. Prove that ...

    Text Solution

    |

  15. Show that the sum of an A.P. whose first term is a, the second term is...

    Text Solution

    |

  16. If the first term of an A.P. is 100 and sum of its first 6 terms is 5 ...

    Text Solution

    |

  17. The first term, last term and common difference of an A.P are respecti...

    Text Solution

    |

  18. Write the sum of first n even natural numbers.

    Text Solution

    |

  19. If S(n) denotes the sum of n terms of an A.P. with common difference d...

    Text Solution

    |

  20. The sums of n terms of three arithmetical progressions are S1, S2 and...

    Text Solution

    |