Home
Class 12
MATHS
Let Sn denotes the sum of the first of n...

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

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - B) One option is correct|50 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - C) More than one option are correct|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Try Yourself|85 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

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)

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

(1) .Let S_n denote the sum of the first 'n' terms and S_(2n)= 3S_n. Then, the ratio S_(3n):S_n is: (2) let S_1(n) be the sum of the first n terms arithmetic progression 8, 12, 16,..... and S_2(n) be the sum of the first n terms of arithmatic progression 17, 19, 21,....... if S_1(n)=S_2(n) then this common sum is

Let S_(n) denote the sum of the first n tem of an A.P.If S_(2n)=3S_(n) then prove that (S_(3n))/(S_(n))=6

AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - A) One option is correct
  1. If three positive numbers a, b, c are in A.P. and 1/a^2,1/b^2,1/c^2 a...

    Text Solution

    |

  2. The sum of the series a-(a+d)+(a+2d)-(a+3d)+ up to (2n+1) terms is -n ...

    Text Solution

    |

  3. Let Sn denotes the sum of the first of n terms of A.P. and S(2n)=3Sn ...

    Text Solution

    |

  4. Let S(n) denotes the sum to terms of an A.P. whose first term is a . I...

    Text Solution

    |

  5. If the first second and last term of an A.P. are a ,\ b ,\ a n d\ 2a\ ...

    Text Solution

    |

  6. Sum of first n terms of an A.P. whose last term is l and common dif...

    Text Solution

    |

  7. If one geometric mean G and two arithmetic means A(1)andA(2) are inser...

    Text Solution

    |

  8. The fourth term of the G.P. 4, - 2 , 1 , … is

    Text Solution

    |

  9. Find: n th term of the G.P. sqrt(3),1/(sqrt(3)),1/(3sqrt(3)),

    Text Solution

    |

  10. Which term of the progression 18 ,-12 ,8, i s(512)/(729)?

    Text Solution

    |

  11. The third term of a G.P. is 3. Find the product of its first five term...

    Text Solution

    |

  12. "If " (a^(n)+b^(n))/(a^(n-1)+b^(n-1))" is the A.M. between" a and b, t...

    Text Solution

    |

  13. If (2p)th term of a G.P is q^2 and (2q)th term is p^2 then (p+q)th ter...

    Text Solution

    |

  14. Three number whose product it 512 are in G.P. If 8 is added to the f...

    Text Solution

    |

  15. If first and eightth terms of a G.P. are x^(-4) and x^(52) and it...

    Text Solution

    |

  16. Find the sum of first n term of a G.P.1+(1)/(2)+(1)/(4)+(1)/(8)+...

    Text Solution

    |

  17. The n^(th) term of a GP is 128 and the sum of its n terms is 255. If i...

    Text Solution

    |

  18. How many terms of the series 1+3+9+ .. .........sum to 364?

    Text Solution

    |

  19. If the (p+q)^(th) term of a G.P. is a and (p-q)^(th) term is b, determ...

    Text Solution

    |

  20. If the sum of three numbers in a GP. is 26 and the sum of products tak...

    Text Solution

    |