Home
Class 10
MATHS
If S1 is the sum of an AP of 'n' odd num...

If `S_1` is the sum of an AP of 'n' odd number of terms and `S_2` be the sum of the terms of series in odd places of the same AP then `S_1/S_2` =

Text Solution

Verified by Experts

The correct Answer is:
`(2n)/(n+1)`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Exercise 5d|10 Videos
  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer Questions|10 Videos
  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Exercise 5b|23 Videos
  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Question|6 Videos
  • CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|3 Videos

Similar Questions

Explore conceptually related problems

If S_1 is the sum of an AP of n odd number of terms and S_2 be the sum of terms of series in odd places of the same AP, then (S_1)/(S_2)= a.     (2n)/(n+1) b.     n/(n+1) c.     (n+1)/(2n) d.     (n+1)/n

Prove that the sum of an odd number of terms in A.P is equal to the middle term mutiplied by the number of terms

If S_1 is the sum of first 2n terms and S_2 is the sum of first 4n term and S_2-S_1 is equal to 1000 then S_3 sum of first 6n terms of same A.P

Write the n t h term of an A.P. the sum of whose n terms is S_n .

Let S_(1) be the sum of the first n terms of the A.P 8,12,16,... and let S_(2) be the sum of the first n terms of the A.P 17,19,21,... assume n!=0 then S_(1)=S_(2) for

In an A.P of 99terms,the sum of all the odd- numbered terms is 2550. Then find the sum of all the 99 terms of the A.P.

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

If S_(n), be the sum of n terms of an A.P; the value of S_(n)-2S_(n-1)+S_(n-2), is

If S_(1) be the sum of (2n+1) term of an A.P. and S_(2) be the sum of its odd terms then prove that S_(1):S_(2)=(2n+1):(n+1)

NAGEEN PRAKASHAN-ARITHMETIC PROGRESSION-Exercise 5c
  1. How many terms of the A.P. 54, 51, 48, ... has the sum 513 ? Explain t...

    Text Solution

    |

  2. Find the value of 'x' if (i) 1+6+11+...+x=189 (ii) 1+1+4+7+10+...+...

    Text Solution

    |

  3. (i) Find the sum of first 200 even natural numbers. (ii) Find the su...

    Text Solution

    |

  4. Find the sum of n terms of an A.P. whose nth term is (2n+1).

    Text Solution

    |

  5. The sum of n terms of a series is n(n+1) . Prove that it is an A.P. al...

    Text Solution

    |

  6. The sum of n terms of a series is (3n^(2)+2n). Prove that it is an A.P...

    Text Solution

    |

  7. The sum of first 5 terms and first 15 terms of an A.P. are equal. Fin...

    Text Solution

    |

  8. The sum of first 8 terms and first 24 terms of an A.P. are equal. Find...

    Text Solution

    |

  9. The sum of15 terms of an A.P. is zero and its 4th term is 12. Find its...

    Text Solution

    |

  10. The sum of first 8 terms of an A.P. is 64 and that of first 15 terms i...

    Text Solution

    |

  11. Find the sum of first 24 terms of the A.P. a1, a2, a3, , if it is kno...

    Text Solution

    |

  12. The first term, last term and common difference of an A.P. are respect...

    Text Solution

    |

  13. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

    Text Solution

    |

  14. Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second mont...

    Text Solution

    |

  15. The sum of the first five terms of an A.P. and the sum of the first s...

    Text Solution

    |

  16. 200 logs are stacked in such a way that there are 20 logs in the botto...

    Text Solution

    |

  17. The ratio of the sum of n terms of two A.P. s is (7n+1):(4n+27) . Fin...

    Text Solution

    |

  18. If the sum of first 7 terms of an A.P. is 49 and that of its 17 terms ...

    Text Solution

    |

  19. The famous mathematician associated with finding the sum of the first ...

    Text Solution

    |

  20. If S1 is the sum of an AP of 'n' odd number of terms and S2 be the sum...

    Text Solution

    |