Home
Class 12
MATHS
A G.P consists of 2n terms . If the sum ...

A G.P consists of 2n terms . If the sum of the terms . If the sum of the terms occupying the odd place is `S_(1),` and that of the terms in the even places is `S_(2)`then find the common ratio of the progression

Text Solution

Verified by Experts

The correct Answer is:
`(S_(2))/(S _(1))`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -1 PART -I RMO|44 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -1 PART -II RMO|3 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos
  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

Similar Questions

Explore conceptually related problems

A G.P. consists of 2n terms. If the sum of the terms occupying the odd places is S_(1) , and that of the terms in the even places is S_(2) , then S_(2)/S_(1) , is

A geometric progression consists of 500 terms. Sum of the terms occupying the odd places is P_1 and the sum of the terms occupying the even places is P_2 . Find the common ratio.

A G.P.consists of an even number of terms.If the sum of all the terms is 5 xx the sum of terms occupying odd places,then find its common ratio.

A.G.P.consists of an even number of terms.If the sum of all the terms is 5 xx the sum of the terms occupying he odd places.Find the common ratio of the G.P.

The sum of the first ten terms of the geometric progression is S_(1) and the sum of the next ten terms (11 th term to 20 th term is S_(2) then the common ratio will be:

If the sum of the first 100 terms of an arithmetic progression is -1 and the sum of the even terms is 1, then the 100^("th") term of the arithmetic progression is

RESONANCE-SEQUENCE & SERIES -SELF PRACTICE PROBLEMS
  1. Find the maximum sum of the A.P. 40 +38+36+34+32+……………

    Text Solution

    |

  2. Find the sum of first 16 terms of an A.P. a (1), a (2), a(3)……….. If...

    Text Solution

    |

  3. There are n A.M.'s between 3 and 29 such that 6th mean : (n - 1)th mea...

    Text Solution

    |

  4. For what value of n , (a ^(n +3) + b ^(n +3))/(a ^(n +2) + b ^(n +2)),...

    Text Solution

    |

  5. Find the G.P. if the common ratio of G.P. is 3, n^(th) term is 486 an...

    Text Solution

    |

  6. if x , 2y and 3z are in AP where the distinct numbers x, yand z ar...

    Text Solution

    |

  7. A G.P consists of 2n terms . If the sum of the terms . If the sum of ...

    Text Solution

    |

  8. If the continued product of three numbers in G.P. is 216 and the sum o...

    Text Solution

    |

  9. Find the value of n so that (a ^(n +2) + b ^(n +1))/( a ^(n) + b ^(n))...

    Text Solution

    |

  10. If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then ...

    Text Solution

    |

  11. If the harmonic mean between two positive numbers is to their G.M. as ...

    Text Solution

    |

  12. a,b,c are in H.P. then prove that (b +a)/(b-a) + (b+c)/(b-c) =2

    Text Solution

    |

  13. If a,b,c,d are in H.P., then ab+bc+cd is equal to

    Text Solution

    |

  14. If 4 + (4 +d)/( 5) + (4 + 2d)/(5 ^(2)) ……….=1, then find d.

    Text Solution

    |

  15. Evaluate :1 + 3x + 6x ^(2) + 10 x ^(3)+……. upto infinite term, whre |x...

    Text Solution

    |

  16. Sum of the series :1 + 2 (1 + (1)/(n)) + 3 (1 + (1)/(n )) ^(2) + ………

    Text Solution

    |

  17. Find the sum to n terms of the series: 3/(1^^2 .2^2)+5/(2^2 .3^2)+7/(3...

    Text Solution

    |

  18. Find the sum to n terms of the series 1+ (1+2) + (1+2+3) + (1+2+ 3+...

    Text Solution

    |

  19. Generate term of the series 4 + 14 + 30 + 52+ 82+ 114+.........

    Text Solution

    |

  20. If sum (r =1) ^(n ) T (r) = (n +1) ( n +2) ( n +3) then find sum ( r ...

    Text Solution

    |