Home
Class 10
MATHS
If S1 is the sum of an arithmetic pro...

If `S_1` is the sum of an arithmetic progression of `' n '` odd number of terms and `S_2` the sum of the terms of the series in odd places, then `(S_1)/(S_2)=` `(2n)/(n+1)` (b) `n/(n+1)` (c) `(n+1)/(2n)` (d) `(n+1)/n`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 5d|10 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Very Short Answer Questions|10 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 5b|23 Videos

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Question|5 Videos

  • CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|2 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 the terms of series in odd places of the same AP then S_1/S_2 =

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 =

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 =

Find the sum to n terms of the series, whose n^(t h) terms is given by : (2n-1)^2

If S_n denotes the sum of first n terms of an arithmetic progression and an denotes the n^(th) term of the same A.P. given S_n = n^2p ; where p,n in N , then

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)dot

Show that the ratio of the sum of first n terms of a G.P. and the sum of (n+1)th term to (2n)th term is (1)/(r^(n)) .

Sum to n terms of the series :1 + 2 (1 + (1)/(n)) + 3 (1 + (1)/(n )) ^(2) + ………

If S_n, denotes the sum of n terms of an A.P. , then S_(n+3)-3S_(n+2)+3S_(n+1)-S_n=

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

NAGEEN PRAKASHAN ENGLISH-ARITHMETIC PROGRESSION-Exercise 5c
  1. Find the value of 'x' if 1+6+11+...+x=189

    Text Solution

    |

  2. (a) Find the sum of first 200 even natural numbers. (b) Find the sum...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If the m^(t h) term of an A.P. is 1/n and the n^(t h) terms is 1/m , s...

    Text Solution

    |

  11. If a(1), a(2), a(3) , … are in A.P. , such that a(1) + a(5) +a(10) ...

    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 AP and the sum of the first seve...

    Text Solution

    |

  16. 200 logs are stacked in the following manner: 20 logs in the bottom ...

    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 AP is 49 and that of 17 terms is ...

    Text Solution

    |

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

    Text Solution

    |

  20. If S1 is the sum of an arithmetic progression of ' n ' odd number ...

    Text Solution

    |