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

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^(th)` and `n^(th)` term is (2m - 1 ) : (2n -1).

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE |22 Videos
  • SEQUENCE AND SERIES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS MCQs|16 Videos
  • SAMPLE QUESTIONS PAPER-4 (PUNJAB)

    OMEGA PUBLICATION|Exercise Section- D|7 Videos
  • SETS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|27 Videos

Similar Questions

Explore conceptually related problems

If the ratio of the sum of m terms of an A.P. to the sum of n terms is m2 : n2. Show that the ratio of the 5th to 11th term is 3 : 7.

If the sum of n terms of an A.P. is 3n^2 + 2n : Find the rth term.

The sum of n terms of an A.P. is 3n^2 + 4n . Find the A.P.

The ratio of 12^(th) to the 15^(th) term of an A.P. in 19 : 24. Find the ratio of 7^(th) to 17^(th) term of the A.P.

If the sum of first n terms of an A.P. is cn^(2) then the sum of squares of these n terms is

Show that the sum of (m+n)^(th) and (m -n)^(th) terms of an A.P. is equal to twice the m^(th) term.

If the sum of n terms of two A.P.s are in the ratio 7n + 1 : 4n + 27. Find the ratio of their 11^(th) terms.

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

If the ratio of sum of m terms of an A.P. to the sum of n terms is (2m + 1) : (3n +1), find the ratio of 7th to 10th term

If the sum of n terms of an A.P. is 3n^2 + 5n and its m^(th) term is 164, find the value of m.

OMEGA PUBLICATION-SEQUENCE AND SERIES -MULTIPLE CHOICE QUESTIONS MCQs
  1. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

    Text Solution

    |

  2. If a, b, c, d, e,f are in A.P., then e - c is equal to

    Text Solution

    |

  3. The fourth term of an A.P. is 4. Then the sum of the first 7 terms is:

    Text Solution

    |

  4. The two geometric means between 1 and 64 are

    Text Solution

    |

  5. If second term of a GP. is 2 and the sum of its infinte terms is 8, th...

    Text Solution

    |

  6. If A.M. between two numbers is 5 and their G.M is 4, then their H.M is...

    Text Solution

    |

  7. The following consecutive terms 1/(1+sqrt(x)), 1/(1-x), 1/(1-sqrt(x)) ...

    Text Solution

    |

  8. 1/(1.2) -1/(2.3) + 1/(3.4) - 1/(4.5) + …….. Is:

    Text Solution

    |

  9. If the pth,term of an A.P. is q and the qth is p, then the rth term is

    Text Solution

    |

  10. cos x = b. For what value of b do the roots of the equation form an A....

    Text Solution

    |

  11. In a certain AP, 5 times the 5th term is equal to 8 times the 8th term...

    Text Solution

    |

  12. If the first term of an A.P. is 2 and common difference is 4, then sum...

    Text Solution

    |

  13. The product (32), (32)^(1//6) (32)^(1//36)…..infty is equal to:

    Text Solution

    |

  14. If the first two terms of harmonic progression be 1/2, 1/4 then the ha...

    Text Solution

    |

  15. A G.P consists of an even number of terms. If Sum of all terms of a G....

    Text Solution

    |

  16. Three numbers a,b and c are in A.P if:

    Text Solution

    |

  17. If the third term of an A.P is 12 and the seventh term is 24, then the...

    Text Solution

    |