Home
Class 12
MATHS
If T(n) and t(n) be the nth term of two ...

If `T_(n)` and `t_(n)` be the `nth` term of two AP's respectively and the ratio of sum of `n` terms of these AP's is`(2n-3)/(4n+1) AA n epsilonN` then identify the correct option

A

`(T_(1))/(t_(1))=7/17`

B

`(T_(10))/(T_(11))=17/7`

C

`(t_(6))/(T_(6))=45/19`

D

`(t_(6))/(T_(6))=19/45`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

The ratio of the sum of first n terms of two APs is (7n + 1): (4n + 27). Find the ratio of their mth terms.

If the sum of n terms of an A.P. is 3n + 2n^(2) , find the common difference

If the sum of first n terms of an AP is cn^(2) , then the sum of squares of these n terms is

Find the sum to n terms of the series whose n^("th") term is n (n+3).

The ratio of sum of first n terms of two Aps is (8n+1)/(7n+3) for every positive integer n. Find the ratio of their 7th terms.

If the sum of n terms of a series is 2n^(2)+5n for all values of n, find its 7th term.

Find the rth term of an AP sum of whose first n terms is 2n+ 3n^(2)

Find the sum to n terms of the A.P., whose k^("th") term is 5k + 1.

First term a and common ratio r = 1 then sum of n terms on G.P. is S_(n) = na .

ALLEN -TEST PAPERS-MATHEMATICS
  1. If x^(2)+25+sqrt(y-3)=10x-|z^(2)-4z+3|-|z-1|-|sin omega-1|=0 then whic...

    Text Solution

    |

  2. Which of the following is/are correct

    Text Solution

    |

  3. If T(n) and t(n) be the nth term of two AP's respectively and the rati...

    Text Solution

    |

  4. The equation x^(4)-2x^(3)-3x^(2)+4x-1=0 has four distinct real roots x...

    Text Solution

    |

  5. Which of the following is/are correct

    Text Solution

    |

  6. If g(x)=2-|x|,x epsilon[-1,3] and f(x)=-1+|x-2|,0 le x le 4 On the b...

    Text Solution

    |

  7. If g(x)=2-|x|,x epsilon[-1,3] and f(x)=-1+|x-2|,0 le x le 4 On the b...

    Text Solution

    |

  8. If x=sin alpha, y=sin(alpha+(4pi)/3),z=sin(alpha+(8pi)/3) u=cos alph...

    Text Solution

    |

  9. If x=sin alpha, y=sin(alpha+(4pi)/3),z=sin(alpha+(8pi)/3) u=cos alph...

    Text Solution

    |

  10. Consider the following species. ul(N)(SiH(3))(3),ul(N)(GeH(3))(3),ul...

    Text Solution

    |

  11. lim(xto oo) (sqrt(x^(2)-x+1)-(ax+b))=0 then for kge2, kepsilonN which...

    Text Solution

    |

  12. Suppose a and b are integers such that x^(2)+ax+b+1=0 has positive int...

    Text Solution

    |

  13. If f'(x^(2))=(ln x)/(x^(2)) and f(1)=-1/4 then which of the following ...

    Text Solution

    |

  14. If alpha=3sin^(-1)(2/3) and beta=2cos^(-1)(1/3) then which of the foll...

    Text Solution

    |

  15. For a continuous function f(x), equation f(x)=0 has 4 distinct solutio...

    Text Solution

    |

  16. Which of the following functions is/are injective function (s) in the...

    Text Solution

    |

  17. Consider f(x)={("min"(|x|sqrt(1-x^(2))),,,-1lexle1),([|x|],,,1lt|x|lt2...

    Text Solution

    |

  18. If f(x)={((sinx+cosx)^(cosecx),-(pi)/2ltxlt0),(a,x=0),((e^(1/x)+e^(2/x...

    Text Solution

    |

  19. If f(x) is a monic polynomial of degree '3' such that lim(x to 0) (1+f...

    Text Solution

    |

  20. If f(x) is a monic polynomial of degree '3' such that lim(x to 0) (1+f...

    Text Solution

    |