Home
Class 12
MATHS
Let Sn denote the sum of first n terms o...

Let `S_n` denote the sum of first n terms of an AP and `3S_n=S_(2n)` What is `S_(3n):S_n` equal to? What is `S_(3n):S_(2n)` equal to?

A

`2:1`

B

`3:1`

C

`4:1`

D

`5:1`

Text Solution

Verified by Experts

The correct Answer is:
A

From explanation `(S_(3n))/(S_(n))=(6n^(2)d)/(3n^(2)d)=(2)/(1)=2:1`
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2021(I)

    NDA PREVIOUS YEARS|Exercise MULTIPLE CHOICE QUESTION|108 Videos
  • SETS, RELATIONS, FUNCTIONS AND NUMBER SYSTEM

    NDA PREVIOUS YEARS|Exercise MCQ|271 Videos

Similar Questions

Explore conceptually related problems

S_(n) denote the sum of the first n terms of an A.P. If S_(2n)=3S_(n) , then S_(3n):S_(n) is equal to

Let S_(n) denotes the sum of the first of n terms of A.P.and S_(2n)=3S_(n). then the ratio S_(3n):S_(n) is equal to

Let S_(n) denote the sum of first n terms of an A.P.If S_(2n)=3S_(n), then find the ratio S_(3n)/S_(n)

If S_(n) denotes the sum of first n terms of an A.P., then (S_(3n)-S_(n-1))/(S_(2n)-S_(n-1)) is equal to

NDA PREVIOUS YEARS-SEQUENCE AND SERIES -MATH
  1. The sum of the series formed by the sequence 3,sqrt(3),1...... upto ...

    Text Solution

    |

  2. Let Sn denote the sum of first n terms of an A.P. If S(2n)=3Sn , then ...

    Text Solution

    |

  3. Let Sn denote the sum of first n terms of an AP and 3Sn=S(2n) What i...

    Text Solution

    |

  4. Let f(x)=ax^(2)+bx+c"such that "f(1)=f(-1) and a, b, c, are in Arithme...

    Text Solution

    |

  5. Let f(x)=ax^(2)+bx+c"such that "f(1)=f(-1) and a, b, c, are in Arithme...

    Text Solution

    |

  6. Let f(x)=ax^(2)+bx+c"such that "f(1)=f(-1) and a, b, c, are in Arithme...

    Text Solution

    |

  7. Sum of the series 0.5+ 0.55+ 0.555 +... upto n terms is

    Text Solution

    |

  8. The value of the infinite product 6^(1/2)xx6^(2/4)xx6^(3/8)xx6^(4/16)x...

    Text Solution

    |

  9. The nth term of an AP. Is (3+n)/(4), then the sum of first 105 terms i...

    Text Solution

    |

  10. If p,q,r are in one geometric progression and a,b,c are in another geo...

    Text Solution

    |

  11. What is the sum of n terms of the series sqrt2+sqrt8+sqrt18+sqrt32+..

    Text Solution

    |

  12. Given that a(n)=int(0)^(pi) (sin^(2){(n+1)x})/(sin2x)dx Consider the...

    Text Solution

    |

  13. Given that a(n)=int(0)^(pi) (sin^(2){(n+1)x})/(sin2x)dx What is a(n-...

    Text Solution

    |

  14. Given that log(x)y,log(z)x,log(y)z are in GP, xyz=64" and "x^(3),y^(3)...

    Text Solution

    |

  15. Given that log(x)y,log(z)x,log(y)z are in GP, xyz=64" and "x^(3),y^(3)...

    Text Solution

    |

  16. If m is the geometric mean of ((y)/(z))^(log(yz)),((z)/(x))^(log(zx)...

    Text Solution

    |

  17. How many geometric progressions are possible containing 27, 8 and 12 a...

    Text Solution

    |

  18. Let a ,x, y ,z b be in AP where x+y+z=15 Let a ,p,q ,r ,b be in HP whe...

    Text Solution

    |

  19. Let a ,x, y ,z b be in AP where x+y+z=15 Let a ,p,q ,r ,b be in HP whe...

    Text Solution

    |

  20. Let a ,x, y ,z b be in AP where x+y+z=15 Let a ,p,q ,r ,b be in HP whe...

    Text Solution

    |