Home
Class 12
MATHS
The sum pf 'n' terms of two arithmentic ...

The sum pf 'n' terms of two arithmentic progressions are in the ratio `(3n+8):(7n+15)`. Find the ratio of their `12^(th)` terms .

A

`16: 7`

B

`7: 16`

C

`74: 169`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

The sum of n terms of two arithmetic progressions are in the ratio (3n + 8) : (7n + 15). Find the ratio of their 12^("th") terms.

The sums of n terms of two arithmetic progresssions are in the ratio (7n+1):(4n+17). Find the ratio of their nth terms

The sums of n terms of two arithmetic progressions are in the ratio 5n + 4 : 9n + 6. Find the ratio of their 18^(th) terms.

The sums of n terms of two AP's are in the ratio (3n-13):(5n+21). Find the ratio of their 24th terms.

If the ratio of the sums of the n elements of two arithmetic progressions is 5 n+4: 9 n+16, then the ratio of their 18^(th) elements.

The sum of first 'n' terms of an arithmetic progression is 210 and sum of its first (n-1) terms is 171. If the first term 3, then write the arithmetic progression.

The sum of n terms of an Arithmetic progression is S_n=2n^2+6n . Find the first term and the common difference.

If the n-th term of an arithmetic progression a_(n) = 24 - 3n then its 2nd term is

Write the formula to find the sum of first n terms of an Arithmetic progression, whose first term is a and the last term is a_n .

Write the formula to find the sum of first n terms of an Arithmetic progression, whose first term is a and the last term is a_n .

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. If the sum of the first 2n terms of the A.P. 2,5,8,"……….." is equal to...

    Text Solution

    |

  2. An infinite G.P. has first term 'x' and sum '5' , then x belongs to :

    Text Solution

    |

  3. If (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) is an G.M between a and b then the ...

    Text Solution

    |

  4. If the sum of first n terms of an A.P. is cn^(2) , then the sum of squ...

    Text Solution

    |

  5. If (a+b)/(1-a b), b, (b+c)/(1-b c) are in A.P, then a, (1)/(b), c are ...

    Text Solution

    |

  6. If A(1), A(2) be two A.M's and G(1), G(2) be two G.M's between a and b...

    Text Solution

    |

  7. The sum pf 'n' terms of two arithmentic progressions are in the ratio ...

    Text Solution

    |

  8. If x=1+y+y^(2)+.. . to oo, then y is

    Text Solution

    |

  9. If A=1+r^(a)+r^(2 a)+r^(3 a)+.. . to oo and lebrge B=1+r^(b)+r^(2 b)+....

    Text Solution

    |

  10. The determinant : |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,...

    Text Solution

    |

  11. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

    Text Solution

    |

  12. Every element of a G.P is positive and also every element is the sum o...

    Text Solution

    |

  13. If x gt 1 , y gt 1 , z gt 1 are in G.P. , then (1)/(1 + log x) , (1)/(...

    Text Solution

    |

  14. age0, then sum(n=1)^(infty)((a)/(a+1))^(n) equals

    Text Solution

    |

  15. If x,y,z are in A.P. and tan^(-1) x , tan^(-1) y and tan^(-1) z are a...

    Text Solution

    |

  16. The sum of three numbers in A.P. is 27 and the sum of their squares is...

    Text Solution

    |

  17. If a,b,c,d and p are distinct non -zero real numbers such that : ( a...

    Text Solution

    |

  18. If A.M of two numbers is twice their G.M, then the ratio of the greate...

    Text Solution

    |

  19. If S(n) = nP + (n (n - 1))/(2) Q where Sn denotes the sum of the first...

    Text Solution

    |

  20. The first and last elements of an A.P are a and l respectively. If S i...

    Text Solution

    |